Factoring Polynomials Review

Factor Out GCF

100

Factor out the GCF:

-6p - 10

-2(3p + 5)

200

Factor out the GCF:

36v⁵ + 54v⁴

6v⁴(6v + 9)

300

Factor out the GCF:

-60x²y⁶ - 70xy⁶ + 40xy³

10xy³(-6xy³ - 7y³ + 4)

400

Factor out the GCF:

n - 2nm - 10nm⁶

n(1 - 2m - 10m⁶)

500

Factor out the GCF:

72yz⁴ + 48xyz + 24x²y + 80y²

8y(9z⁴ + 6xz + 3x² + 10y)

Difference of Squares

100

Factor the difference of squares: 

x² - 16

(x + 4)(x - 4)

200

Factor the difference of squares:

x² + 81

Prime

300

Factor of the difference of squares:

16x² - 100

(4x + 10)(4x - 10)

400

Factor the difference of squares:

121x² - 1y²

(11x + 1y)(11x - y)

500

Factor the difference of squares:

196x²y² - 256z²

(14xy + 16z)(14xy - 16z)

Factor Trinomials

100

Factor the trinomial:

x² + 16x + 63

(x + 9)(x + 7)

200

Factor the trinomial:

m² - 6m - 27

(m + 3)(m - 9)

300

Factor the trinomial:

x² + 3x - 40

(x - 5)(x + 8)

400

Factor the trinomial:

p² - 10p + 21

(p - 7)(p - 3)

500

Factor out the GCF, then factor the trinomial:

6n² - 6n - 180

6(n + 5)(n - 6)

Factoring by Slip-and-Slide

100

Factor the trinomial using slip-and-slide:

7m² - 13m + 6

(7m - 6)(m - 1)

200

Factor the trinomial using slip-and-slide:

7v² - 16v + 9

(7v - 9)(v - 1)

300

Factor the trinomial using slip-and-slide:

5n² + 38n - 16

(5n - 2)(n + 8)

400

3r² - 16r + 16

(3r - 4)(r - 4)

500

Factor out the GCF, then use slip-and-slide:

20p² - 68p + 24

4(5p - 2)(p - 3)

Square Roots Method

100

Factor by Square Roots Method: 81x² + 5 = 21

x = 4/9, x = -4/9

200

Factor by Square Roots Method: 2x² -9 = 55

x = 4(2), x =-4(2) 

300

Factor by Square Roots Method: 8x² + 1 = 17

x=(2), x=-(2)

400

Factor by Square Roots Method: 1/4(x+2)² = 27

-2 +- 6(3)

500

Factor by Square Roots Method: (x+2)² = 49

x = -9, x = 5