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WorksheetsOperations with Polynomials
Total questions: 18
Worksheet time: 2hrs 34mins
Name
Class
Date
1.
Classify by number of terms:
2x – 9
2x – 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
2.
Classify by number of terms:
3x2 – 8x + 1
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
3.
Add the polynomials:
(2x+5y) + (3x-2y)
(2x+5y) + (3x-2y)
a)
3x + 5y
b)
5x + 3y
c)
5x + 7y
d)
7xy + 1xy
4.
Simplify the expression.
(4n4-8n+4) - (8n2+4n4+1)
(4n4-8n+4) - (8n2+4n4+1)
a)
-8n2 - 8n + 3
b)
-7n2 - 8n + 3
c)
-6n2 - 8n + 3
d)
-7n2 - 4n + 3
5.
Find the difference.
(3-2x+2x2) - (4x-5+3x2)
(3-2x+2x2) - (4x-5+3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
6.
Find the product.
(x+7)2
(x+7)2
a)
x2 + 7x + 7x + 49
b)
x2 + 7x + 7
c)
7x2 + x + 7
d)
x2 + 14x + 49
7.
Which expression is equivalent to:
(2x2+5x-7)(x-2)?
(2x2+5x-7)(x-2)?
a)
2x3 - x2 + 17x -14
b)
2x3 + 9x2 + 3x +14
c)
2x3 + x2 + 3x +14
d)
2x3 + x2 - 17x +14
8.
A = 2x2 + 3x + 5
C = 3x2 - 7x + 12
If A + B = C,
what must B equal?
C = 3x2 - 7x + 12
If A + B = C,
what must B equal?
a)
x2 - 10x + 7
b)
5x2 - 4x + 17
c)
x2 - 4x + 7
d)
5x2 - 10x + 17
9.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
10.
According to the table, how much more is gas at Citgo Gas than Hess Gas? Which expression would you set up?
a)
(12x - 10) - (-4x + 9.2)
b)
(12x - 10) + (-4x + 9.2)
c)
(-4x + 9.2) - (12x - 10)
d)
(12x - 10) + (4x + 9.2)
11.
What is the standard form of the polynomial,
9x2 + 5x + 27 + 2x3
9x2 + 5x + 27 + 2x3
a)
27 + 5x + 9x2 + 2x3
b)
9x2 + 5x + 2x3 + 27
c)
9x2 + 5x + 27 + 2x3
d)
2x3 + 9x2 + 5x + 27
12.
(3x + 4y - 3z) - (2x - 6y + 7z)
a)
x + 10y - 10z
b)
-x +10y - 10z
c)
x -10y - 10z
d)
-x -10y - 10z
13.
Find the product:
(5n-8)(5n+8)
(5n-8)(5n+8)
a)
25n2-64
b)
10n2
c)
5n2+16
d)
16
14.
(x - 4)2
a)
x2 - 8x - 16
b)
x2 - 8x + 16
c)
x2 + 8x + 16
d)
x2 + 16
15.
Which of the following does NOT represent the area of the entire figure shown above?
a)
a² + ab
b)
a(a+b)
c)
a²+b
d)
(a+b)a
16.
What is the standard form of the polynomial,
7x - 125 - 6x4 + 14x2
7x - 125 - 6x4 + 14x2
a)
125 + 7x - 14x2 +6x4
b)
6x4 -14x2 - 7x +125
c)
125 + 14x2 + 7x - 6x4
d)
-6x4+ 14x2 + 7x - 125
17.
Which of the following is a 5th degree trinomial with a leading coefficient of -2?
a)
-2x5 + 3x - 1
b)
5x-2 +3x - 1
c)
-2x5 + 3x4 + 2x3 + x2 - 10
d)
2x + 5
18.
Simplify the following expression:
-8 (5b + 2) -7 (b - 5)
-8 (5b + 2) -7 (b - 5)
a)
-33b + 19
b)
-47b2 + 21
c)
33b - 19
d)
-47b +19
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