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WorksheetsPOLYNOMIAL
Total questions: 220
Worksheet time: 13hrs 46mins
What does FOIL method of multiplication of polynomials mean?
First-On-In-Last Terms
Final-Outer-Inner-Last Terms
First-Outer-Inner-Last Terms
Final-On-In-Last Terms
What property of real numbers provens the equation
a(b + c) = ab + ac?
Closure Property
Commutative Property
Associative Property
Distributive Property
Solve for 2(3x + 4)
5x + 6
6x + 8
6x + 6
5x + 8
Solve for a (b - c + d)
ab - ac - ad
ab + ac - ad
ab + ac + ad
ab - ac + ad
Solve for -5(7xy - 2)
-35xy + 10
-12xy - 7
-35xy - 7
-35xy + 10
Solve for -7(a2 - 6)
-7a2 + 13
-7a2 - 13
-7a2 + 42
7a2 - 42
What is (a + b)(c + d)?
ab + cd + ac + bd
ac + ad + bc + bd
ab + ac + ad
ab + bc + cd
Solve for (3x + 5)(x - 9)
3x2 - 22x - 45
3x2 - 45x - 4
3x2 +5x - 9
3x2 - 27x - 45
What is the value of (5x - 1)(3x - 1) ?
15x2 + 8x + 1
15x2 - 8x + 1
15x2 - 2x + 1
15x2 - 3x + 1
Perform (7x + 4)(4x - 7) using any method
28x - 28
28x2 + 16x - 28
28x2 + 8x - 11
28x2 - 33x - 28
What is a mathematical expression with variables raised to whole number exponents?
Whole Numbers = {0, 1, 2, 3, ...}
Polynomial
Equation
Fraction
Whole
3xy - 2y + 8x - 7z -16
1
2
4
5
When you multiply polynomials, what do you do with the exponents?
Add them
Multiply them
Nothing
Multiply: 6a3⋅4a6
24a10
24a9
10a9
−24a9
Find the product:
5a(a2 + 3a - 4 )
5a2 + 15a - 20
5a3 - 15a2 + 20a
5a3 + 15a2 - 20a
5a2 - 15a + 20
What is a mathematical expression with variables raised to whole number exponents?
Whole Numbers = {0, 1, 2, 3, ...}
Polynomial
Equation
Fraction
Whole
3xy - 2y + 8x - 7z -16
1
2
4
5
When you multiply polynomials, what do you do with the exponents?
Add them
Multiply them
Nothing
Multiply: 6a3⋅4a6
24a10
24a9
10a9
−24a9
Find the product:
5a(a2 + 3a - 4 )
5a2 + 15a - 20
5a3 - 15a2 + 20a
5a3 + 15a2 - 20a
5a2 - 15a + 20
6v(2v + 3)
12v+18
12v2 + 18v
15v2 + 8v
12v2 + 18v2
2x ( -2x -3)
-4x - 3
x2 - 3
-4x2 - 6x
-4x - 6
(4x - 1)(5x−2)
20x2 + 3x − 2
20x2 − 11x + 5
20x2 − 13x + 2
20x2 − 3x − 2
(4x+1)(5x−2)
20x2 + 3x − 2
20x2 − 11x + 5
20x2 − 18x + 2
20x2 − 3x − 2
Multiply these monomials.
-12x4 ⋅ 11x
132x4
-132x4
132x5
-132x5
Find the product using
the distributive property.
-8x ( 4x2 - 9x + 12)
-32x2 - 72x + 96
-32x3 - 72x2 - 96x
-32x3 + 72x2 - 96
-32x3 + 72x2 - 96x
Which of the following is equivalent to 23?
4
6
8
12
Is (2x)(3x) equivalent to 5x?
Yes!
No, it is equivalent to 5x2
No, it is equivalent to 6x2
8 can be computed by multiplying 4 by itself two times. True or False?
(a)
(x+2)(x+3) = _____?
x2+5x+6
x2+2x+5
2x+5
x2+6
Solve for 2(3x + 4)
5x + 6
6x + 8
6x + 6
5x + 8
Solve for a (b - c + d)
ab - ac - ad
ab + ac - ad
ab + ac + ad
ab - ac + ad
Solve for -5(7xy - 2)
-35xy + 10
-12xy - 7
-35xy - 7
-35xy + 10
Solve for -7(a2 - 6)
-7a2 + 13
-7a2 - 13
-7a2 + 42
7a2 - 42
What is (a + b)(c + d)?
ab + cd + ac + bd
ac + ad + bc + bd
ab + ac + ad
ab + bc + cd
Solve for (3x + 5)(x - 9)
3x2 - 22x - 45
3x2 - 45x - 4
3x2 +5x - 9
3x2 - 27x - 45
What is the value of (5x - 1)(3x - 1) ?
15x2 + 8x + 1
15x2 - 8x + 1
15x2 - 2x + 1
15x2 - 3x + 1
(2x³ + 4x² - 5) by (x + 3).
If you are missing a term in your polynomials (both dividend and divisor), you must put a zero as a coefficient place holder for that term.
True
False
Only for the dividend
Only for the divisor
(3x - 4x3 + 6x4 + 1) / (x + 3)
x−2x3+6x2−x−30=
x2−8x−15
x2+8x−15
x2+8x+15
x2+8x−5
x+6x3+7x2−6x−72=
x2+x+12
x2+x+2
x2+x−2
x2+x−12
Solve using long division. (x2+2x − 63)÷(x+9)
x−7
x2−7
x+7
x2+3x−54
What is the quotient when 10n2 - 37n - 12 is divided by n - 4?
10n - 3
3n - 10
10n + 3
3n + 10
x−2x3+6x2−x−30=
x2−8x−15
x2+8x−15
x2+8x+15
x2+8x−5
x+6x3+7x2−6x−72=
x2+x+12
x2+x+2
x2+x−2
x2+x−12
Which term must be inserted in the dividend before you begin long division?
(2x3+5x2+9)÷(x+3)
0x4
0x3
0x2
0x
Solve using long division. (8x2+6x−20)÷(4x−5)
2x−4
2x+4
2x−1−4x−516
2x−4−4x−540
(3x3 + 5x - 1) ÷ (x + 1)
3x3 - 3x2 + 8x - 9
3x2+3x+8+x+17
3x3 + 3x2 + 8x + 7
(2x3 - 5x2 + 3x + 7) ÷ (x - 2)
2x3 - x2 + x + 9
2x2 - x + 1
2x2−x+1+x−29
2x2−9x−15−x−223
Is this division problem worked correctly?
This is correct!
This is incorrect, and error occurs/starts on the 2nd line!
This is incorrect, and the error occurs/starts on the 4th line!
This is incorrect, and the error occurs/starts on the 3rd line!
Solve using long division. (x2+2x − 63)÷(x+9)
x−7
x2−7
x+7
x2+3x−54
What is the quotient when 10n2 - 37n - 12 is divided by n - 4?
10n - 3
3n - 10
10n + 3
3n + 10
x−2x3+6x2−x−30=
x2−8x−15
x2+8x−15
x2+8x+15
x2+8x−5
x+6x3+7x2−6x−72=
x2+x+12
x2+x+2
x2+x−2
x2+x−12
Which term must be inserted in the dividend before you begin long division?
(2x3+5x2+9)÷(x+3)
0x4
0x3
0x2
0x
Solve using long division. (8x2+6x−20)÷(4x−5)
2x−4
2x+4
2x−1−4x−516
2x−4−4x−540
(3x3 + 5x - 1) ÷ (x + 1)
3x3 - 3x2 + 8x - 9
3x2+3x+8+x+17
3x3 + 3x2 + 8x + 7
(2x3 - 5x2 + 3x + 7) ÷ (x - 2)
2x3 - x2 + x + 9
2x2 - x + 1
2x2−x+1+x−29
2x2−9x−15−x−223
Is this division problem worked correctly?
This is correct!
This is incorrect, and error occurs/starts on the 2nd line!
This is incorrect, and the error occurs/starts on the 4th line!
This is incorrect, and the error occurs/starts on the 3rd line!
Evaluate this expression using quotient rule x2x5 , the result is
x−2
x2
x3
x−3
According to the rule, in dividing exponents having the same base, copy the base and ________ the exponent
add
subtract
multiply
divide
Simplify: 6x442x7
7x3
7x11
7x−3
7x28
55x3−10x+25 what is the answer?
x2+2+5
x3+2x+5
x2−2x+5
x3−2x+5
56s3−36s6÷4s
−14s2+9s5
−14s2−9s5
14s2+9s5
14s2−9s5
The quotient of x3+5x2+2x−8 divided by x+2
x2+3x−4
x2−3x−4
x2+3x+4
x2−3x−4
Divide x3+3x2−7x+15 by x+5
x2+2x+3
x2−2x+3
x2−2x−3
x2+2x−3
Rewrite this Expression 2x12x3+6x2 as a separate monomial
2x(12x3)+2x(6x2)
2x2x3
2x(12x3)
2x(6x2)
−8x2+24x divided by −4x
−2x+6
2x−6
2x+6
−2x−6
Divide 2x2−9x−2 by x−5
2x−1−x−53
2x+x−x+5x
2x+1+x−53
2x+1+53
Simplify:
5a(a2 + 3a - 4 )
5a2 + 15a - 20
5a3 - 15a2 + 20a
5a3 + 15a2 - 20a
5a2 - 15a + 20
Multiply: 3m2n ( 4m2 - 5n + 3 )
3m4n - 15m2n2 + 9m2n
12m4n - 15m2n2 + 9m2n
12m2n + 15m2n2 - 9m2n
4m4n - 5m2n2 + 3m2n
Multiply:
(4a + 5 )( 5a - 7 )
20a - 35
20a + 35
20a2 - 3a - 35
20a2 + 3a - 35
Multiply:
( 7x - 10 ) ( 2x - 5 )
14x2 + 50
14x2 - 50
14x2 - 55x + 50
14x2 - 55x - 50
What is the product of ( 8p + 11 )( 8p - 11 )?
8p2 - 22
16p2 - 22
64p2 - 121
64p2 - 88p - 121
Multiply:
(4a + 5 )( 5a - 7 )
20a - 35
20a + 35
20a2 - 3a - 35
20a2 + 3a - 35
Multiply:
( 2x + 3 ) ( 4x2 - 6x + 9 )
8x2 - 12x + 27
8x3 - 12x2 - 27
8x3 - 27
8x3 + 27
Which term must be inserted in the dividend before you begin long division?
(2x3+5x2+9)÷(x+3)
0x4
0x3
0x2
0x
(3x - 4x3 + 6x4 + 1) / (x + 3)
Solve using long division. (x2+2x − 63)÷(x+9)
x−7
x2−7
x+7
x2+3x−54
Solve using long division (2x2+6x−20)÷(2x−4)
x+5+2x−42
x−8
x−5+2x−43
x+5
The answer to a division question is called the. . .
Divisor
Multiplier
Quotient
Sum
Simplify.
2n + 2
4n + 2
2n + 4
4n + 4
Solve and Simplify (no exponent)
311
3−1
31
21871
Solve and Simplify (no exponent)
0
1
2
21
Solve and Simplify (no exponent)
41
16
241
161
Solve and Simplify (no exponent)
36
12
24
361
Solve and Simplify (no exponent)
26
64
25
32
The area of a parallelogram is 54y2−60y , if its base is 6y , what is its height?
9y−10
−y
9y+10
8y
In an architectural project, the storage room is to have an area described by 4a2+23a−35 . If the length is described as a+7 , find an expression for the width.
4a−5
4a+5
3a+6
3a−6
The volume of a box is given by the polynomial 6x3+3x2−30x . The length is 3x and the width is x−2 . Find the height of the box.
3x2−6x
6x2+15x
2x+5
x−5
A mathematical expression that any variables in the expression must have whole-number powers, contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominator of any of any fraction.
Monomial
Binomial
Polynomial
Trinomial
An expression contains only one term.
Monomial
Binomial
Polynomial
Trinomial
Is an expression which composed of exactly three terms.
Monomial
Binomial
Polynomial
Trinomial
Expression which contains exactly two terms. It can be consider as a sum or difference between two or more monomial.
Monomial
Binomial
Polynomial
Trinomial
To add polynomials, simply combine similar terms. To combine similar terms get the sum of the numerical coefficients and annex the same literal coefficients. If there are more than one term, for convenience, write the similar terms in the same column.
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
Two or more polynomials when multiplied always result in a polynomial of higher degree (unless one of them is a constant polynomial).
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
To subtract polynomials, change the sign of the subtrahend then proceed to the addition rule. Also remember what subtraction means. It is adding the negative of the quantity.
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
Division of two polynomials may or may not result in a polynomial.
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
1. As per law, the fraction of two different bases with the same power is presented as, b2a2
Product of power
Quotient of power
Power raise to power
Zero power
1.
According to this rule, when the power of any integers is zero, then its value is equal to 1, such as, a0=1
Product of power
Quotient of power
Power raise to power
Zero power
According to this law if ‘a’ is the base then the power raise to the power base ‘a’ gives the product of the powers raise to the base ‘a’, such as; (am)n=amn
Product of power
Quotient of power
Power raise to power
Zero power
As per rule, for two or more different bases, if power is the same then,
anbn=(ab)n
Product of power
Quotient of power
Power raise to power
Zero power
What is the sum of (38x)+(7x+2) ?
40x+2
45x+2
50x+2
45x+4
Get the answer (12x3+8x−2)−(13x3+10x+8)
x3+2x+6
2x3−2x−2
3x3−2+6
28x3−18+6
Perform the indicated operation 10xy−8xy
xy
2xy
3xy
18xy
Find the product x2⋅x3
x
x5
x7
x+5
Find the quotient x12÷x5
x17
x20
x7
x
Divide 12x4−16x3+8x2 by 4x2
3x2−4x+2
3x−4x+2
3x2+4−2
3x3−4−2
If I bought (3x−5) pencils which cost (5x−1) peso each,how much will I pay for it?
x2−2x+1
8x4+4x−2
8x2+2x−1
x2+2x−4
Divide −5x2y315x4y3+25x3y3−20x2y4
3x2−5x+4y
3x2+5x+4y
x2+5x+4y
−3x2−5x+4y
4x
Monomial
Binomial
Trinomial
Polynomial
15x4y3+25x3y3−20x2y4
Monomial
Binomial
Trinomial
Polynomial
48x3y+243xy−12x3y+4
Monomial
Binomial
Trinomial
Polynomial
6d7+4d
Monomial
Binomial
Trinomial
Polynomial
25x5−4x4−6x3+3x2+10
Monomial
Binomial
Trinomial
Polynomial
A mathematical expression that any variables in the expression must have whole-number powers, contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominator of any of any fraction.
Monomial
Binomial
Polynomial
Trinomial
An expression contains only one term.
Monomial
Binomial
Polynomial
Trinomial
Is an expression which composed of exactly three terms.
Monomial
Binomial
Polynomial
Trinomial
Expression which contains exactly two terms. It can be consider as a sum or difference between two or more monomial.
Monomial
Binomial
Polynomial
Trinomial
To add polynomials, simply combine similar terms. To combine similar terms get the sum of the numerical coefficients and annex the same literal coefficients. If there are more than one term, for convenience, write the similar terms in the same column.
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
Two or more polynomials when multiplied always result in a polynomial of higher degree (unless one of them is a constant polynomial).
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
To subtract polynomials, change the sign of the subtrahend then proceed to the addition rule. Also remember what subtraction means. It is adding the negative of the quantity.
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
Division of two polynomials may or may not result in a polynomial.
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
1. As per law, the fraction of two different bases with the same power is presented as, b2a2
Product of power
Quotient of power
Power raise to power
Zero power
1.
According to this rule, when the power of any integers is zero, then its value is equal to 1, such as, a0=1
Product of power
Quotient of power
Power raise to power
Zero power
According to this law if ‘a’ is the base then the power raise to the power base ‘a’ gives the product of the powers raise to the base ‘a’, such as; (am)n=amn
Product of power
Quotient of power
Power raise to power
Zero power
As per rule, for two or more different bases, if power is the same then,
anbn=(ab)n
Product of power
Quotient of power
Power raise to power
Zero power
What is the sum of (38x)+(7x+2) ?
40x+2
45x+2
50x+2
45x+4
Get the answer (12x3+8x−2)−(13x3+10x+8)
x3+2x+6
2x3−2x−2
3x3−2+6
28x3−18+6
Perform the indicated operation 10xy−8xy
xy
2xy
3xy
18xy
Find the product x2⋅x3
x
x5
x7
x+5
Find the quotient x12÷x5
x17
x20
x7
x
Divide 12x4−16x3+8x2 by 4x2
3x2−4x+2
3x−4x+2
3x2+4−2
3x3−4−2
If I bought (3x−5) pencils which cost (5x−1) peso each,how much will I pay for it?
x2−2x+1
8x4+4x−2
8x2+2x−1
x2+2x−4
Divide −5x2y315x4y3+25x3y3−20x2y4
3x2−5x+4y
3x2+5x+4y
x2+5x+4y
−3x2−5x+4y
4x
Monomial
Binomial
Trinomial
Polynomial
15x4y3+25x3y3−20x2y4
Monomial
Binomial
Trinomial
Polynomial
48x3y+243xy−12x3y+4
Monomial
Binomial
Trinomial
Polynomial
6d7+4d
Monomial
Binomial
Trinomial
Polynomial
25x5−4x4−6x3+3x2+10
Monomial
Binomial
Trinomial
Polynomial
A mathematical expression that any variables in the expression must have whole-number powers, contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominator of any of any fraction.
Monomial
Binomial
Polynomial
Trinomial
An expression contains only one term.
Monomial
Binomial
Polynomial
Trinomial
Is an expression which composed of exactly three terms.
Monomial
Binomial
Polynomial
Trinomial
Expression which contains exactly two terms. It can be consider as a sum or difference between two or more monomial.
Monomial
Binomial
Polynomial
Trinomial
To add polynomials, simply combine similar terms. To combine similar terms get the sum of the numerical coefficients and annex the same literal coefficients. If there are more than one term, for convenience, write the similar terms in the same column.
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
Two or more polynomials when multiplied always result in a polynomial of higher degree (unless one of them is a constant polynomial).
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
To subtract polynomials, change the sign of the subtrahend then proceed to the addition rule. Also remember what subtraction means. It is adding the negative of the quantity.
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
Division of two polynomials may or may not result in a polynomial.
Addition on polynomials
Subtraction of polynomials
Multiplication of polynomials
Division of polynomials
1. As per law, the fraction of two different bases with the same power is presented as, b2a2
Product of power
Quotient of power
Power raise to power
Zero power
1.
According to this rule, when the power of any integers is zero, then its value is equal to 1, such as, a0=1
Product of power
Quotient of power
Power raise to power
Zero power
According to this law if ‘a’ is the base then the power raise to the power base ‘a’ gives the product of the powers raise to the base ‘a’, such as; (am)n=amn
Product of power
Quotient of power
Power raise to power
Zero power
As per rule, for two or more different bases, if power is the same then,
anbn=(ab)n
Product of power
Quotient of power
Power raise to power
Zero power
What is the sum of (38x)+(7x+2) ?
40x+2
45x+2
50x+2
45x+4
Get the answer (12x3+8x−2)−(13x3+10x+8)
x3+2x+6
2x3−2x−2
3x3−2+6
28x3−18+6
Perform the indicated operation 10xy−8xy
xy
2xy
3xy
18xy
Find the product x2⋅x3
x
x5
x7
x+5
Find the quotient x12÷x5
x17
x20
x7
x
Divide 12x4−16x3+8x2 by 4x2
3x2−4x+2
3x−4x+2
3x2+4−2
3x3−4−2
If I bought (3x−5) pencils which cost (5x−1) peso each,how much will I pay for it?
x2−2x+1
8x4+4x−2
8x2+2x−1
x2+2x−4
Divide −5x2y315x4y3+25x3y3−20x2y4
3x2−5x+4y
3x2+5x+4y
x2+5x+4y
−3x2−5x+4y
4x
Monomial
Binomial
Trinomial
Polynomial
15x4y3+25x3y3−20x2y4
Monomial
Binomial
Trinomial
Polynomial
48x3y+243xy−12x3y+4
Monomial
Binomial
Trinomial
Polynomial
6d7+4d
Monomial
Binomial
Trinomial
Polynomial
25x5−4x4−6x3+3x2+10
Monomial
Binomial
Trinomial
Polynomial
x2 + 2x3 - 4
binomial
trinomial
quadratic
cubic
4x² - 2
monomial
binomial
trinomial
polynomial
x3y2 - 7x2y + 3
1
3
5
7
x³ + 5
x² + 3
x² + 5x - 6
5x³
-7x3y2z2
3
2
12
7
3xy - 2y + 8x - 7z -16
1
2
4
5
Parenthesis
Multiplication/
Division
Constants
Addition/
Subtractraction
x²+4x-8
x³-7x²+3
x²-8x+10
(x³-6x²+3)+(3x³+4x-1)
(3x²-3x+2)-(x²-2x+1)
3x²+6x-18
What is the degree classification of this polynomial?
x2 + 4x -8
binomial
trinomial
quadratic
cubic
What is the term classification of the following polynomial?
x3 - 7x2 +3
monomial
binomial
trinomial
polynomial
Which is an example of a linear polynomial?
x2 - 5
6x + 4
5x5
2x3 - 9x2
Which is an example of a cubic binomial?
x3 + 5
x2 + 3
x2 + 5x - 6
5x3
What is the constant of this polynomial? 2x3 - 8x2 + 3x - 7
2
-8
3
-7
(2x + 5y) + (3x - 2y)
(3x3 + 3x2 – 4x + 5) + (x3 – 2x2 + x – 4)
9x2 + 5x + 27 + 2x3
Subtract: (2a2 + 5a + 3) - (a2 - 3a - 4)
Add or Subtract to Simplify: (x5 + x3) - (6x5 + - x3 + 6x)
Combine like terms
(4x4 - 3x2 + 6x) + (7x4 + 5x2 + 8x)
4x2 - 3x2 = ?
x³-7x²+3
x2-2x+5
4x2 + 2x - 1
Binomial,
3rd degree
Binomial,
2nd degree
Trinomial,
3rd degree
Trinomial,
2nd degree
8a3
Terms that have....
