Factoring Polynomials

Factoring using GCF

100

Factor using GCF

y³+9y²

y²(y+9) 

200

Factor using GCF

8 + 6x⁴

2(4 + 3x⁴)

300

Factor using GCF

-60 + 60n² + 50n³

10(-6 + 6n² + 5n³ )

400

Factor using GCF

-14n⁵ + 56n² + 49

7(-2n⁵ +8n²+7)

500

Factor using GCF

2n⁸ + n⁵ - 5n³

n³ (2n⁵ + n² - 5)

a>1

100

Factor the polynomial

5k² - 40k + 10

5(k² - 8k + 2)

200

Factor the polynomial

-5m² - 5m + 100 

-5(m - 4)(m + 5)

300

Factor the polynomial

2x² + 8x − 10

2(x − 1) (x + 5)

400

Factor the polynomial

5n² − 10n − 15

5(n + 1)(n − 3)

500

Factor the polynomial

2y² - 2z²

2(y + z)(y - z)

Difference of Perfect Squares

100

Factor the binomial

x^2-36

(x-6)(x+6)

200

Factor the binomial

4x²-25

(2x+5)(2x-5)

300

Factor the binomial

100y²-36x⁴

(10y+6x²)(10y-6x²)

400

Factor the binomial

81y⁶-16x⁸

(9y³+4x⁴)(9y³-4x⁴)

500

Factor the binomial

18x⁴-72

18(x²-2)(x²+2)

Trivia!

100

Factor the polynomial

x² + 10x + 16

(x + 8)(x + 2)

200

Factor the polynomial

x² – 9x + 20

(x - 5)(x - 4)  

300

Factor the polynomial

x² + x – 20

(x + 5)(x - 4)

400

Factor the polynomial

x² – 4x – 21

(x - 7)(x + 3)

500

Factor the polynomial

x² – 7x – 44

(x - 11)(x + 4)

Factor the Common Binomial

100

x ( x − 3) + 5( x − 3)

(x + 5)(x - 3)

200

a²(b + 2) − b (b + 2)

(a² - b)(b + 2)

300

x³ (y + 4) + y (y + 4)

(x³ + y)(y + 4)

400

(a + b )(a − b ) + a (a + b )

(a + b )(2a − b )

500

7x ( x − 3) − 4(3 − x )

(x − 3)(7x + 4)