GCF

GCF

Factoring

Factoring

Solving Equations

100

What is the GCF of 5x^{2} and 10x?

5x

100

Rewrite the expression by factoring out (x+1).

3(x+1) + 2x(x+1)

(3+2x)(x+1)

100

Factor. (Use the difference to two squares formula)

x^{2}-25

(x+5)(x-5)

100

Solve for x.

(x-9)(x+4) = 0

x=9, -4

200

What is the GCF of 10y, 20y^{2} and 30y^{3}?

10y

200

Factor.

30x^{3}-20x^{2}

10x^{2}(3x-2)

200

Factor. (Use the "difference of two squares" formula)

x^{2}-16

(x+4)(x-4)

200

Solve for y.

(4y-1)(y+8) = 0

y= 1/4, -8

300

What is the GCF of 5xy, 10x^{2}y^{5}, 15y^{4}

5y

300

Factor. (Hint: use the "m and n" method)

x^{2}-x-12

(x+3)(x-4)

300

Factor.

50x^{2}-30x^{4}

10x^{2}(5-3x^{2})

300

Solve for x.

x^{2}-5x+6 = 0

x=2, 3

400

Factor. (Hint: use the "m and n" method)

x^{2}-11x+18

(x-9)(x-2)

400

Factor.

x^{2}+x-6

(x+3)(x-2)

400

Solve for x.

x^{2+}5x-14 = 0

x= -7, 2

500

Factor by grouping.

2x^{3}+4x+5x^{2}+10

(2x+5)(x^{2}+2)

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