A1 - 7B Factoring Polynomials Test Review

GCF

100

Factor the GCF: 6p²+2p

2p(3p+1)

200

Factor the GCF: 2d³+4d

2d(d²+2)

300

Factor the GCF: m²-8m⁵

m²(1-8m³)

Factor by Grouping

100

Complete the final step:

4w(w+1)+3(w+1)

(w+1)(4w+3)

200

Complete the final step:

p(p²-5)-(p²-5)

(p²-5)(p-1)

300

Factor by grouping:

3x³+6x²-4x-8

(3x²-4)(x+2)

400

Factor by grouping:

n³-6n²+5n-30

(n²+5)(n-6)

Trinomials

100

Factor the Trinomial. Write "prime" if it cannot be factored.

n²+9n+20

(n+4)(n+5)

200

Factor the Trinomial. Write "prime" if it cannot be factored.

y²+5y-84

(y+12)(y-7)

300

Factor the Trinomial. Write "prime" if it cannot be factored.

3x²+4x+7

Prime

400

Factor the Trinomial. Write "prime" if it cannot be factored.

2g²-11g+5

(2g-1)(g-5)

500

Factor the Trinomial. Write "prime" if it cannot be factored.

6y²-y-5

(6y+5)(y-1)

Factoring Completely

100

Factor completely.

2x⁴-50x² 

2x²(x+5)(x-5)

200

Factor completely.

5x²y-15xy+10y

5y(x-2)(x-1)

300

Factor completely.

3x²-12x+12

3(x-2)²

400

Factor completely.

27x² - 3

3(3x-1)(3x+1)

Special Cases

100

Factor. Write "prime" if it cannot be factored.

x²-12x+144

(x-12)²

200

Factor. Write "prime" if it cannot be factored.

x²+25

prime

300

4x²-121

(2x-11)(2x+11)