Exponents, Polynomials, & Factoring Review

Exponent Rules

100

(3x⁵)(9x⁴)

27x⁹

200

(4x²)³

64x⁶

300

3x(-2x⁶)³

-24x¹⁹

400

(28x⁶y³)/(4x²y³) 

7x⁴

500

(x^-6/y²)^-4

x²⁴y⁸

Polynomial Operations

100

(3x²+ 5x +1)+(7x²- 4x - 8)

10x²+ x - 7

200

(9x³+5x²-6x-2)-(3x³+7x-9)

6x³+5x²-13x+7

300

7x³(3x+6y+2x²)

21x⁴+42x³y+14x⁵

400

(2x-5)²

4x²-20x+25

500

(x-2)(x²+5x-7)

x³+3x²-17x+14

Factoring Squares or Cubes

100

81-x²

(9-x)(9+x)

200

49x²-25y²

(7x-5y)(7x+5y)

300

2x²-72

2(x-6)(x+6)

400

x³-512

(x-8)(x²+8x+64)

500

216x³+125y³

(6x+5y)(36x²-30xy+25y²)

Factoring Gcf or Grouping

100

8x+36y

4(2x+9y)

200

a³b²+a²+ab

a(a²b²+a+b)

300

80xy⁴+64x²y²+32x²y³

16xy²(5y²+4x+2xy)

400

2x³+12x²+x+6

(2x²+1)(x+6)

500

x³+5x²-x-5

(x-1)(x+1)(x+5)

Factoring Trinomials

100

x²-3x-18

(x-6)(x+3)

200

x²-15xy+56y²

(x-8y)(x-7y)

300

2x²+11x+15

(2x+5)(x+3)

400

6x²-7x+2

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

500

8x²+14x-15

(4x-3)(2x+5)