# M2 Factoring by Grouping

## Quiz by Ian Gabriel

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- Q1
Find the GCF of 30 and 27

3

4

1

2

30s - Q2
Find the GCF of 32 and 48.

16

4

12

8

30s - Q3
Find the GCF of 45 and 30.

20

15

5

10

30s - Q4
Find the GCF of

**4a**.^{2}- 8a4

2a

4a

4a

^{2}30s - Q5
Find the GCF of

**x**.^{2}+ xyxy

y

x

^{2}x

30s - Q6
Find the GCF of x

^{3}y + xy^{3.}x

^{3}y^{3}xy

x

^{2}yx

^{2}y^{2}30s - Q7
Factor 3x

^{2}- 9x.3(x + 3)

3(x - 3)

3x(x + 3)

3x(x - 3)

30s - Q8
Factor 13a

^{2}+ 26a + 39.13a

^{2}(a^{2}+ 2a + 3)13a(a

^{2}+ 2a + 3)13(a

^{2}+ 2 + 3)13(a

^{2}+ 2a + 3)30s - Q9
Factor out

**(2y**.^{2}- 3)y + 4(2y^{2}- 3)(2y

^{2}+ 3)(y + 4)(2y

^{2}- 3)(y - 4)(2y

^{2}- 3)(y + 4)(2y - 3)(y + 4)

30s - Q10
Factor out

**7(a - 1) - 4x(a - 1)**.(a + 1) ( 7 - 4x)

(a - 1) ( 7 + 4x)

(a - 1) ( 7 - 4)

(a - 1) ( 7 - 4x)

30s - Q11
Use factoring by grouping

**x**^{2}+ 3x + 2x +6.(x + 3) (3x + 2)

(x + 3x) (x + 2)

(x + 3) (x + 2)

(x + 3) (x - 2)

30s - Q12
Use factoring by grouping

**ab - 7a + 4b - 28**.(b - 7) (ab + 4)

(b + 7) (a + 4)

(b - 7) (a + 4)

(b - 7) (a - 4)

30s