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WorksheetsPolynomial Functions Test
Total questions: 155
Worksheet time: 1hrs 18mins
P(x)=3x4-7x2-2x7-x+4?
y = 25 - x2
As x approaches infinity, what does y approach?
3x3 – 6x
3x3 – 6x
2x – 9
2x – 9
3x2 – 8x + 1
3x2 – 8x + 1
12
7x3 – 8x2 + 9
Classify by degree and number of terms:
3x3 – 6x
Quadratic Binomial
Cubic Binomial
Cubic Trinomial
4th degree Binomial
Classify the polynomial by degree and number of terms:
3x2 – 8x + 1
Cubic Trinomial
Cubic Binomial
Quadratic Trinomial
Quadratic Binomial
Name of polynomial with 3 terms
monomial
binomial
trinomial
polynomial
What is the name of 1 term?
Trinomial
binominal
term
monomial
Classify by degree and number of terms:
4
quartic monomial
constant monomial
linear monomial
constant polynomial
Classify by degree and number of terms:
7x
linear binomial
linear monomial
constant monomial
constant binomial
Classify by degree and number of terms:
5y3−8y
cubic monomial
quadratic polynomial
cubic binomial
quadratic trinomial
Classify by degree and number of terms:
x2+3x−9
quadratic trinomial
cubic trinomial
quadratic binomial
cubic polynomial
Classify the following by degree:
2x5+3
Linear
5th degree or Quintic
quadratic
constant
Classify the following by degree:
x10+y+5
10th degree
cubic
qudratic
linear
Nam by number of terms:
x
monomial
binomial
trinomial
Name by the number of terms:
x2+y3−z4+3
monomial
4-term polynomial or just polynomial
trinomial
binomial
Match the following:
Monomial
( −2x )
Binomial
( 3x2+7 )
Trinomial
( 5x2+7x−10 )
Polynomial
( 8x4+7x2+3x−9 )
Classify this polynomial by its degree and number of terms: 4x3
Cubic monomial
Linear binomial
Cubic binomial
6th degree (sextic) monomial
3x3 – 6x
3x2 – 8x + 1
Classify the polynomial
3x2
constant monomial
quintic monomial
linear binomial
quadratic monomial
quadratic binomial
−10x
linear monomial
9x5+4x4+3
quintic trinomial
4x−10x2−2x4
quartic trinomial
9x−4
linear binomial
3x−2x4+10−2x2
quartic polynomial
3x3 – 6x
−3x5−3x+7
What is the degree ?
5
3
7
Identify the degree of the polynomial and the sign of the leading coefficient
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
Identify the degree of the polynomial and the sign of the leading coefficient
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
Identify the degree of the polynomial and the sign of the leading coefficient
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
Identify the degree of the polynomial and the sign of the leading coefficient
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
y = 4x10
y = -6x + 4 + 9x3
Identify the degree of the polynomial and the sign of the leading coefficient
Degree - Even
Degree - Odd
Degree - Even
Degree - Odd
Is y=5x4−7x3+17x2−3x+1 a polynomial?
Yes, and the degree is 4 with leading coefficient 5.
No
Is y = 4x2+x−0.7 a polynomial?
Yes, and the degree is 2 with leading coefficient 4.
No
Is y = 5x + 1 a polynomial?
Yes, and the degree is 1 with leading coefficent 5.
No
Is y = 7 a polynomial?
Yes, and the degree is 0 with leading coefficient 7.
No
Is y= 32x5−3x4+8x2−16 a polynomial?
Yes, and the degree is 5 with leading coefficient 2/3.
No
Is y=3x−7+4x3−6x+8 a polynomial?
Yes, with degree -7 and leading coefficient 3.
No, -7 can't be an exponent because exponents must be 0,1,2,3,...
Is y=5x3+x2−x21+8 a polynomial?
Yes, with degree 3 and leading coefficient 5.
No, you can't have a exponent of 1/2. Exponents must be 0,1,2,3,...
Is y=x3−7x2+8x−1 a polynomial?
Yes, with degree 3 and leading coefficient 1.
No, this is a square root of a polynomial, but not a polynomial.
Is y=32x2+5x3−7x+4 a polynomial?
Yes, with degree 3 and leading coefficient 5.
Yes, with degree 2 and leading coefficient 2/3.
No, you can't have a number infront of x be a fraction.
Match the following:
Monomial
( −2x )
Binomial
( 3x2+7 )
Trinomial
( 5x2+7x−10 )
Polynomial
( 8x4+7x2+3x−9 )
Classify the polynomial by degree (first name) and number of terms (last name). Pgs. 3 and 4
3x2−7
Linear Binomial
Quadratic Binomial
Cubic Binomial
Quartic Binomial
Classify the polynomial by degree (first name) and number of terms (last name). (pgs. 3 and 4)
Remember to combine like terms first!
9x3−2x+5+7x
Linear Polynomial
Cubic Polynomial
Cubic Trinomial
Linear Trinomial
A polynomial that has two terms is classified as a ________. (pg. 3)
monomial
binomial
trinomial
polynomial
Choose the expression that is NOT a polynomial. (pg. 2)
−11x+x32−2x3
−8−2x3+5x
9x5+x4−6x2
x3
Describe the types of Polynomials for each polynomial
(6x + 9)
binomials
x2+5x−2
trinomials
2x
monomials
4x2 +6x4−3x+5−2x7
polynomial
5x²-3x+6
2
-3
5
6
x³-7x²+3
7x3 - 11x2 + 8x - 5
4x3 - 5x2 + 2x - 1
What is the Degree of the Polynomial?
5x3 - 6x + 1
Linear
Quadratic
Cubic
Quartic
What is the definition of a polynomial?
expression
expression that contains a combination of constants, variables, & exponents
only positive exponents with a finite number of terms
all these things are in the definition of a polynomial
Fill in the blank with the correct term.
(You must spell the answer correctly or you may get the answer wrong. Make sure to look back at your notes.)
(a) - a number without a variable
Fill in the blank with the correct term.
(You must spell the answer correctly or you may get the answer wrong. Make sure to look back at your notes.)
(a) - the parts of the polynomial that are separated by + or - signs
Fill in the blank with the correct term.
(You must spell the answer correctly or you may get the answer wrong. Make sure to look back at your notes.)
(a) - a letter used to represent unknown values
Fill in the blank with the correct term.
(You must spell the answer correctly or you may get the answer wrong. Make sure to look back at your notes.)
(a) - the number being multiplied by a variable
In the following expression, identify how many terms there are.
−2x − 11 +5x2−3x3
-2
-11
5
-3
4
What are the terms you identified in this expression?
−2x − 11 +5x2−3x3
−2x
−11
4
−3x3
5x2
Identify the coefficient(s) in the following expression.
−2x − 11 +5x2−3x3
−2
−11
4
−3
5
Identify the constant(s) in the following expression.
−2x − 11 +5x2−3x3
−2
−11
4
−3
5
Put the following polynomial in standard form. Which polynomial correctly identifies this polynomial in standard form?
−2x − 11 +5x2−3x3
−2x−11+5x2−3x3
−11−3x3−2x+5x2
5x2−3x3−2x−11
−3x3+5x2−2x−11
Put the following polynomial in standard form. How would you name this polynomial?
−2x − 11 +5x2−3x3
squared polynomial
cubic polynomial
monomial
cubic trinomial
Put the following polynomial in standard form. What is the leading coefficent?
12xy−2x2+y−6−y2x
12
−2
−1
−6
Name the degree of the monomial.
Constant
Linear
Quadratic
Cubic
Quartic
Name the following polynomial by both degree and number of terms.
Quartic Polynomial
Quintic Polynomial
Quadratic Polynomial
Cubic Polynomial
Name the following polynomial by both degree and number of terms.
Cubic Trinomial
Cubic Monomial
Quadratic Monomial
Cubic Polynomial
Classify by number of terms:
-2x2 – x
Monomial
Binomial
Trinomial
4-Term Polynomial
(2x + 5y) + (3x - 2y)
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
Classify this polynomial by its degree and number of terms: 4x3
Cubic monomial
Linear binomial
Cubic binomial
6th degree (sextic) monomial
x4+2
Quadratic binomial
Quadratic monomial
Quartic binomial
Quartic trinomial
9x4
Quadratic polynomial
Quartic monomial
Quadratic monomial
Cubic monomial
Simplify this polynomial:
3x2 - x + 2 - 5x2 + 8x - 5
8x2 + 9x + 7
-2x2 + 7x - 3
2x2 + 7x - 3
5x2 - 3
3x + 2x + 3y - 7y
Terms that have....
12
2x – 9
7x3 – 8x2 + 9
3x3 – 6x
-2x2 – x
The name of the polynomial is (a) (b)
The name of the polynomial is (a) (b)
The name of the polynomial is (a) (b)
The name of the polynomial is (a) (b)
The name of the polynomial is (a) (b)
The name of the polynomial is (a) (b)
The name of the polynomial is (a) (b)
The name of the polynomial is (a) (b)
(a) (b)
(a) (b)
(a) (b)
(a) (b)
(a) (b)
(a) (b)
(a) (b)
(a) (b)
(a) (b)
(a) (b)
Standard form is when terms are in order from least to greatest
True
False
A monomial has how many terms?
1
2
3
4+
A binomial has how many terms?
1
2
3
4+
A trinomial has how many terms?
1
2
3
4+
The degree of a monomial is the sum of the exponents of all included variables
True
False
A Quadratic has a degree of:
0
1
2
3
4+
4xy
Classify by degree.
Constant
Linear
Quadratic
Cubic
5th Degree
Classify the Polynomial 3x7+3x+2
(a)
Name the following 3x+2x+x
(a)
Name the following 3x2−5x4+3x+4x3
(a)
2x⁴+14x³−2x²
2n³
