Free Printable Factor and FOIL Review

1.

Factor: $8x^4-10x^3$

a)

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

b)

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

c)

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

d)

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

2.

Multiply: $\left(x-2\right)\left(x+2\right)$

a)

$x^2-4x+4$

b)

$x^2-4$

c)

$x^2-2x-4$

d)

$x^2+4$

3.

Factor $24x^2-12x$

a)

$12x$

b)

$12x\left(2x-1\right)$

c)

$12x\left(2x\right)$

d)

$12x^2\left(2x-1\right)$

4.

Identify the correct statement given the trinomial $3x^2+7x-6$ .

a)

$a=-3$

b)

$c=-6$

c)

$b=-7$

d)

$c=6$

5.

To factor $3x^2+7x-6$ you expand the trinomial to

a)

$3x^2+9x-2x-6$

b)

$3x^2-9x+2x-6$

c)

$3x^2+6x+3x-3$

d)

$3x^2+6x+3x-6$

6.

Expand $4x^2-9x+2$

a)

$4x^2-9x+x+2$

b)

$4x^2+8x-x+6$

c)

$4x^2-8x-x+2$

d)

$4x^2+8x+x-2$

7.

What is the standard form of the trinomial $x+3x^2-3$

a)

$-3x^2-x-3$

b)

$3x^2-x+3$

c)

$3x^2+x-3$

d)

$3x^2+x+3$

8.

What is the factored form of $x^2-2x$ ?

a)

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

b)

$2\left(x-1\right)$

c)

$x\left(x-2\right)$

d)

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

9.

Simplify the product $\left(5c+5\right)\left(5c-5\right)$

a)

$25c^2-25$

b)

$25c^2+25c-25$

c)

$10c$

d)

$25c^2+25$

10.

$\left(r-9\right)\left(r+4\right)$ Multiply and simplify:

a)

$r^2-36$

b)

$r^2+13r-36$

c)

$r-5$

d)

$r^2-5r-36$

11.

Factor completely: $g^2-9g-22$ .

a)

$\left(g-2\right)\left(g+11\right)$

b)

$\left(g-2\right)\left(g-11\right)$

c)

$\left(g+2\right)\left(g+11\right)$

d)

$\left(g+2\right)\left(g-11\right)$

12.

Factor completely: $45m^3n-30m^6n^5+15m^3$ .

a)

$15m^3\left(3n-2m^3n^5+1\right)$

b)

$15\left(3m^3n-2m^6n^5+m^3\right)$

c)

$15m^3n\left(3-2m^3n^4+1\right)$

d)

$3m^3\left(15n-10m^3n^5+5\right)$

13.

Factor completely: $b^2+8b+16$

a)

$\left(b-4\right)^2$

b)

$\left(b-4\right)\left(b+4\right)$

c)

$\left(b+4\right)^2$

d)

$b\left(b+8\right)$

Factor and FOIL Review

Total questions: 13

Worksheet time: 7mins

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