Factoring Polynomials

Three Terms

100

n⁴+2n²-24

(n²+6)(n+2)(n-2)

200

x⁵-24x³-25x

(x+5)(x-5)(x²+1)

300

20x²-17x-63

(4x-9)(5x+7)

400

5x²- 50x+120

5(x-4)(x-6)

500

24x² - 6xy -9y²

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

Four Terms

100

x³-x²+9x-9

(x²+9)(x-1)

200

k³+5k²-k-5

(k-1)(k+1)(k+5)

300

2x⁵-18x⁴+7x-63

(2x⁴+7)(x-9)

400

(x+3)²-(2x-1)²=0

x= -2/3 or x=4

500

x²+7x-6

Unfactorable

Mystery

100

9x²-49y²

(3x-7y)(3x+7y)

200

x³+27

(x+3)(x²-3x+9)

300

(x³+x²-22x-1)/ (x+5)

x²-4x-2+ 9/x+5

400

(3x³-22x²+37x-10)/ (x-2)

3x²-16x+5

500

f(x)= 2x⁴+x³-11x²-4x+12; (x-1)

(x-1)(x-2)(x+2)(2x+3)