Factoring Review

Multiply Binomials

100

(x+3)(x+4)

x²+7x+12

200

(x+9)(x+5)

x²+14x+45

300

(x-3)(x-7)

x²-10x+21

400

(2x+5)(x+1)

2x²+7x+5

500

(2x+3)(4x-4)

8x²+4x-12

Factor when a=1

100

x²+7x+6

(x+6)(x+1)

200

x²+18x+80

(x+8)(x+10)

300

x²+4x-21

(x-3)(x+7)

400

x²-1x-132

(x-12)(x+11)

500

x²-15x+54

(x-6)(x-9)

Find the GCF

100

16 and 4

GCF: 4

200

30x+20x²

GCF: 10x

300

2xy³-8y²+16xy²

GCF: 2y²

400

6s²m³-10s⁵m⁷+12s³m

2s²m

500

15x⁶y²z+9x⁷y³z-21x²y³z

3x²y²z

Factor out the GCF

100

4x³+6x²+12x

2x(2x²+3x+6)

200

10y⁴+20y+50y³

10y(y³+2+5y²)

300

3x⁵-12x³+33x²

3x²(x³-4x+11)

400

5ab²+35ab+25b³

5b(ab+7a+5b²)

500

4ab³-16a⁴b+25a³b²

ab(4b²-16a³+25a²b)

Factor Completely

100

2x³+16x²+30x

2x(x+3)(x+5)

200

6m²+6m-12

6(m+2)(m-1)

300

4x²+28x+74

4(x-2)(x+9)

400

x³+15x²+56x

x(x+8)(x+7)

500

5y⁴+5y³-60y²

5y²(y-3)(y+4)