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WorksheetsFactoring Polynomials
Total questions: 22
Worksheet time: 41mins
Name
Class
Date
1.
What is the first step when factoring polynomials?
a)
Find the GCF
b)
List all the terms
c)
Make a triangle
d)
Write the answer
2.
Factor 4b5+4b3+16b2
a)
4b3(b4+b2+4b)
b)
4b3(b4+4b+5)
c)
4(b5+b3+4b2)
d)
4b2(b3+b+4)
3.
Factor completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
4.
To factor x2+13x+42, think of two numbers whose (blank) is 42 and whose (blank) is 13.
a)
product, sum
b)
sum, product
c)
You guess until it is right
5.
Classify by degree of polynomial:
2x – 9
2x – 9
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
6.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
7.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
8.
Factor
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
9.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
10.
Factor
n2-13n+40
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
11.
Factor
3a2 + 4a + 1
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
12.
Factor
2x2 - 13x - 70
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
13.
Factor
5x2-28x+32
5x2-28x+32
a)
(3x-10)(x+6)
b)
(x-8)(5x-4)
c)
(5x-8)(x-4)
d)
(5x-8)(x+7)
14.
Factor
4n2-17n-15
4n2-17n-15
a)
(n-10)(6n+1)
b)
(4n-5)(n-3)
c)
(n-5)(4n-3)
d)
(n-5)(4n+3)
15.
Factor
9x2-6x-8
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
16.
Factor
9x2+9x-10
9x2+9x-10
a)
(3x-5)(3x+2)
b)
(3x+5)(3x-2)
c)
(3x+5)(3x+2)
d)
Not Factorable
17.
factor completely
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
18.
Factor Completely:
x2 - 36
x2 - 36
a)
(x + 9)(x - 4)
b)
(x - 6)(x - 6)
c)
(x - 9)(x + 4)
d)
(x + 6)(x - 6)
19.
Factor Completely:
2x2 - 2x - 6
2x2 - 2x - 6
a)
2(x + 3)(x - 1)
b)
2(x + 2)(x - 3)
c)
2(x2 - x - 3)
d)
2(x2 - 2x - 6)
20.
Factor:
x2 - 49
x2 - 49
a)
(x + 7)(x - 7)
b)
(x + 7)2
c)
(x - 7)2
d)
(x+7)(x-1)
21.
Determine if the polynomial is a perfect square and if it is factor the polynomial?
x² - 12x + 36
x² - 12x + 36
a)
Is not a perfect square
b)
Is a perfect square;
(x + 6)²
(x + 6)²
c)
Is a perfect square;
(x - 12)²
(x - 12)²
d)
Is a perfect square;
(x - 6)²
(x - 6)²
22.
Determine if the polynomial is a difference of squares and if it is factor the polynomial.
w² - 4
w² - 4
a)
Is not a difference of squares
b)
Is a difference of squares; (w - 2)²
c)
Is a difference of squares; (w + 2)²
d)
Is a difference of squares;
(w + 2)(w - 2)
(w + 2)(w - 2)
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