Free Printable 2.5.1 - 2.5.3 Factoring review

1.

$ax^{2\ }-\ bx\ +\ c$
Your signs in your parenthesis are?

a)

( x - ) ( x - )

b)

( x + ) ( x - )

c)

( x + ) ( x + )

d)

( x - ) ( x + )

2.

$ax^{2\ }+\ bx\ -\ c$
Your signs in your parenthesis are?

a)

( x - ) ( x - )

b)

( x + ) ( x - )

c)

( x + ) ( x + )

d)

( x - ) ( x + )

3.

$ax^{2\ }+\ bx\ +\ c$
Your signs in your parenthesis are?

a)

( x - ) ( x - )

b)

( x + ) ( x - )

c)

( x + ) ( x + )

d)

( x - ) ( x + )

4.

$ax^{2\ }-\ bx\ -\ c$
Your signs in your parenthesis are?

a)

( x - ) ( x - )

b)

( x + ) ( x - )

c)

( x + ) ( x + )

d)

( x - ) ( x + )

5.

How many terms do you have in a polynomial if you are factoring by grouping?

a)

4

b)

3

c)

2

d)

more than 5

6.

When Factoring any polynomial you should always stat by............

a)

re ordering the terms

b)

taking out a negative number

c)

Taking out the GCF

d)

Taking out the LCM

7.

$FactorouttheGCF\ 16x^{2\ }-\ 12x$

a)

4x - 3

b)

4x ( 4x - 3)

c)

3 ( 3x - 3)

d)

(3x- 3)

8.

Factor out the GCF $12x^5-18x^3-3x^{2\ }$

a)

$3\left(4x^5-6x^3\ -\ x^2\right)$

b)

$x^2\ \left(12x^{3\ }-\ 18x\ -\ 3\right)$

c)

$3x^2\ \left(4x^3-6x\ -\ 1\right)$

d)

$\left(4x^{3\ }-\ 6x\ -\ 1\right)$

9.

$Factor\ out\ the\ GCF\ \ \ 15x^{3\ }y^2\ +\ 10x^{2\ }y^4$

a)

$5x^2y^2\left(3x\ +\ 2y^2\right)$

b)

$x^2y^2\ \left(5x\ +\ 10y^2\right)$

c)

$\left(5x\ +\ 10y^2\right)$

d)

$\left(3x\ +\ 2y^2\right)$

10.

$Factor\ the\ trinomial\ \ x^{2\ }-\ 13x\ +\ 36$

a)

$\left(x+\ 9\right)\left(x+4\right)\$

b)

$\left(x+9\right)\left(x-4\right)$

c)

$\left(x-9\right)\left(x+4\right)$

d)

$\left(x-9\right)\left(x-4\right)$

11.

$Factor\ the\ tirnomial\ \ x^{2\ }+\ 4x\ -\ 5\$

a)

$\left(x-5\right)\left(x-1\right)$

b)

$\left(x+5\right)\left(x-1\right)$

c)

$\left(x+5\right)\left(x+1\right)$

d)

$\left(x-5\right)\left(x+1\right)$

12.

$Factor\ the\ trinomial\ fully\ 2x^{2\ }+\ 8x\ -\ 64\$

a)

$2\left(x^{2\ }+\ 4x\ -\ 32\right)\$

b)

$2\left(x+8\right)\left(x+4\right)$

c)

$2\left(x+8\right)\left(x-4\right)$

d)

$\left(x+8\right)\left(x-4\right)$

13.

$Factor\ the\ tirnomial\ fully\ 3x^2+18x\ +\ 54$

a)

$3\left(x+6\right)\left(x+3\right)$

b)

$3\left(x^{2\ }+\ 9x\ +\ 18\right)\$

c)

$\left(x+6\right)\left(x+3\right)$

d)

$3\left(x-6\right)\left(x-3\right)$

14.

$Factor\ the\ trinomial\ \ p^{2\ }-\ 7p\ +\ 10$

a)

$\left(p-10\right)\left(p-1\right)$

b)

$\left(p+10\right)\left(p+1\right)$

c)

$\left(p-5\right)\left(p-2\right)$

d)

$\left(p+5\right)\left(p+2\right)$

15.

$Factor\ the\ trinomial\ \ 5v^{2\ }-\ 30v\ +\ 40\$

a)

$\left(v-4\right)\left(v-2\right)$

b)

$\left(v+4\right)\left(v+2\right)$

c)

$5\left(v+4\right)\left(v+2\right)$

d)

$5\left(v-4\right)\left(v-2\right)$

16.

$Factor\ the\ trinomial\ fully\ \ 2p^{2\ }\ +\ 2p\ -\ 4$

a)

$2\left(p^2+\ p\ -\ 2\right)$

b)

$2\left(p+2\right)\left(p-1\right)$

c)

$\left(p+2\right)\left(p-1\right)$

d)

$\left(p-2\right)\left(p+1\right)$

17.

$Factor\ by\ Grouping\ xy\ -\ xz\ +\ ay\ -\ az$

a)

$x\left(y-z\right)\ +\ a\ \left(y-z\right)$

b)

$\left(x-z\right)\left(y+a\right)$

c)

$\left(x-a\right)\left(y+z\right)$

d)

$\left(x+a\right)\left(y-z\right)$

18.

$Factor\ by\ Grouping\ \ p^{2\ }+pq\ +\ pr\ +\ qr\$

a)

$\left(p+r\right)\left(p+q\right)$

b)

$\left(p-r\right)\left(p-q\right)$

c)

$p\left(p+q\right)\ +\ r\left(\ p+q\right)\$

d)

$p\left(p-q\right)\ +\ r\left(\ p-q\right)$

19.

$Factor\ by\ grouping\ \ 4a\ -\ 8b\ +\ 5ax-10bx$

a)

$\left(4-5x\right)\ \left(a\ -\ 2b\right)$

b)

$\left(4+5x\right)\left(a-2b\right)$

c)

$4\left(a-2b\right)\ +\ 5x\left(\ a-2b\right)$

d)

$4\left(a+\ 2b\right)\ -5x\ \left(\ a+2b\right)$

20.

$Factor\ by\ Grouping\ \ 5mn\ +25m\ +\ 3n^{3\ }+\ 15n^2$

a)

$\left(5m\ -\ 3n^2\right)\left(n-5\right)$

b)

$\left(5m\ +3m^2\right)\left(n+5\right)$

c)

$5m\left(n+5\right)\ +\ 3n^{2\ }\left(n+5\right)$

d)

$5m\left(n-5\right)\ +\ 3n^{2\ }\left(n-5\right)$

21.

$Factor\ by\ grouping\ \ \ \ 4au\ +\ 24av\ -\ 5bu\ -\ 30bv$

a)

$4a\ \left(u+\ 6v\right)-\ 5b\ \left(u+6v\right)$

b)

$\left(4a-5b\right)\left(u-6v\right)$

c)

$\left(4a\ +\ 5b\right)\left(u+\ 6v\right)$

d)

$\left(4a\ -\ 5b\right)$

2.5.1 - 2.5.3 Factoring review

Total questions: 21

Worksheet time: 11mins

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