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WorksheetsFactoring by Grouping
Total questions: 11
Worksheet time: 43mins
Name
Class
Date
1.
What is the factored form of 5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
2.
What is the factored form of x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
3.
Simplify. Write your answer in standard form:
(3x³+9x²-2x)−(7x³-6x²+1)
(3x³+9x²-2x)−(7x³-6x²+1)
a)
10x³+15x²-3x
b)
-4x³+3x²-2x+1
c)
-4x³+15x²-2x-1
d)
-4x³+15x²-2x+1
4.
Simplify the product. Write the answer in standard form.
(x+2)(x-5)
(x+2)(x-5)
a)
x²-3x-10
b)
2x²-3
c)
x²-10
d)
x²+2x-10
5.
Simplify the product. Write the answer in standard form.
(y+6)(6y²+9y-8)
(y+6)(6y²+9y-8)
a)
49y³
b)
36y²+55y-48
c)
6y³+36y²+54y-48
d)
6y³+45y²+46y-48
6.
What is the factored form of 4x²+8x+10
a)
2x(2x²+4x+5)
b)
2x(x²+4x+10)
c)
2(2x²+4x+10)
d)
2(2x²+4x+5)
7.
What is the factored form of 2a³-2a²
a)
2a²(a)
b)
2a(2a²-a)
c)
2a²(a-1)
d)
2a²(a+1)
8.
What is the factored form of 6d⁴+9d³-12d²
a)
3d²(2d²+3d-4)
b)
3d²(3d²+6d-9)
c)
3d²(d³+3d²-4)
d)
6d²(d²+3d³-6)
9.
What is the GCF of 8c³+12c²+10c
a)
2
b)
4
c)
2c
d)
4c
10.
What is the factored form of 4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
11.
Is factoring fun?
a)
YES
b)
NO
c)
NO
d)
NO
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