Polynomial Review!

Factoring degree 3 polynomials

100

Factor x³+27

(x + 3)(x² - 3x + 9)

200

Factor x³-64

(x-4)(x²+4x+16)

300

Factor 8x³+1

(2x+1)(4x²-2x+1)

400

Factor 27x³ - 125

(3x - 5)(9x² + 15x + 25)

500

DOUBLE JEOPARDY 1000 POINT QUESTION

Factor 108x³+1372

4(3x + 7)(9x² - 21x + 49)

Factoring degree 2 polynomials

100

Factor x²-16

(x+4)(x-4)

200

Factor 2x³-32x

2x(x+4)(x-4)

300

Factor m²+8m+12

(m+6)(m+2)

400

Factor m²-4m-4

Trick question it's prime!

500

Factor 5x⁴-320x²

5x²(x+8)(x-8)

Factoring higher degree polynomials

100

Factor x² + 8x + 12

(x + 2)(x + 6)

200

Factor 15x² + 5x + 6x + 2

(5x + 2)(3x + 1)

300

Factor 20b³-25b²+32b-40

(5b²+8)(4b-5)

400

Factor 3x³+4x²+15x+20

(x²+5)(3x+4)

500

Factor 3x⁶-24x⁴+45x²

3x²(x²-5)(x²-3)

Solving Polynomials

100

Solve 9x²-16=0

{+_  4/3}

200

Solve 4x²+11x-20=0

{5/4,-4}

300

Solve x⁴-10x²+24=0

{+_2, sqrt(6)}

400

Solve x⁴-2x³+3x²-6x=0

{0, +_ i sqrt(3), 2}

500

Solve x³+2x²-50=25x

{-5,5,-2}