Factoring Polynomials

Factoring GCF

100

2x + 6y - 10z

What is 2(x + 3y - 5z)

200

x³ + 5x² + 7x

What is x(x^2 + 5x + 7)

300

6x⁴ - 9x³ + 24x²

What is 3x²(2x² - 3x + 8)

400

18v² - 36v - 9

9(2v²-4v-1)

500

-8n⁵-24n⁴-72n³

-8n³(n²+3n+9)

Miscellaneous Factoring

100

5x²-125y²

What is 5(x-5y)(x+5y)

200

49x²y³+ 56xy⁴+14x⁶

What is 7x(7xy³+8y⁴+2x⁵)

300

25n²-16

What is (5n-4)(5n+4)

400

x²-15x+56

What is (x-7)(x-8)

500

x²-11x-42

What is (x-14)(x+3)

Difference of Squares

100

x² - 100

What is (x + 10)(x - 10)

200

25x²- 36

What is (5x + 6)(5x - 6)

300

100x² - 121y²

What is (10x + 11y)(10x - 11y)

400

x⁴ - 81 

What is (x² + 9) ( x² -9) 

500

16x⁴ - 1

What is (4x² + 1)(4x² -1) 

Trinomials (x^2 +bx +c)

100

x² + 10x +25

What is (x + 5) (x+5)

200

x² - 2x + 1

What is (x - 1) (x-1)

300

r²+18r + 32

What is (r+16)(r+2)

400

x² - 10x - 24

What is (x -12) (x+2)

500

x² + 11x +30

What is (x + 5) (x+6)