GCF
Factoring
Factoring
Solving Equations
100

What is the GCF of 5x2 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)

x2-25

(x+5)(x-5)
100

Solve for x.

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

x=9, -4

200

What is the GCF of 10y, 20y2 and 30y3?

10y

200

Factor.

30x3-20x2

10x2(3x-2)

200

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

x2-16

(x+4)(x-4)

200

Solve for y.

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

y= 1/4, -8

300

What is the GCF of 5xy, 10x2y5, 15y4

5y

300

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

x2-x-12

(x+3)(x-4)

300

Factor.

50x2-30x4

10x2(5-3x2)

300

Solve for x.

x2-5x+6 = 0

x=2, 3

400

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

x2-11x+18

(x-9)(x-2)

400

Factor.

x2+x-6

(x+3)(x-2)

400

Solve for x.

x2+5x-14 = 0

x= -7, 2

500

Factor by grouping.

2x3+4x+5x2+10

(2x+5)(x2+2)

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