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WorksheetsFactoring by Grouping
Total questions: 10
Worksheet time: 1hrs 28mins
Name
Class
Date
1.
Factor 28x2 + 63x + 12x + 27 by grouping. Remember to look for common factors first.
a)
(4x + 3)(7x + 9)
b)
(7x + 3)(4x + 9)
c)
(3x + 7)(4x + 9)
d)
(9x + 4)(3x + 7)
2.
Factor by grouping:
4p³+8p²+3p+6
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
3.
Factor by grouping:
5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
4.
Factor by grouping:
x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
5.
Decide if (x-3) is a factor of 3x3+10x2-x-12
a)
Yes, it is a factor
b)
No, it is not a factor
6.
Factor by grouping:
x3-5x2+5x-25
a)
(x2-5)(x-5)
b)
(x2+5)(x-5)
c)
(x2+5)(x+5)
d)
(x2-1)(x-25)
7.
Factor by grouping:
3x3-x2+6x-2
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
(x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the aboe
8.
Factor by grouping:
20x3-25x2+4x-5
a)
(5x2-5)(4x+1)
b)
5(x2-1)(4x+5)
c)
(5x2+1)(4x-5)
d)
(5x2+1)(4x-1)
9.
Factor by grouping:
x3 - 4x2 - 4x + 16
a)
(x+4)(x+2)
b)
(x-4)(x2 -4)
c)
(x+4)(x2 -4)
d)
(x-4)(x-2)
10.
Factor by Grouping:
7r3-8r2+42r-48
7r3-8r2+42r-48
a)
(r2+6)(7r+8)
b)
(r2+6)(7r-8)
c)
(r2+6)(r2+8)
d)
(r2+6)(7r+6)
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