Polynomials Exam Review

Rules of Exponents

100

Simplify:

u²*u⁴

u⁶

200

Simplify:

(2u)³

8u³

300

Simplify:

(3a⁴b⁷)⁴

81a¹⁶b²⁸

400

Simplify:

r^h-2(r^h+1)²

r^3h

500

Simplify:

(t^m)ⁿ(tⁿ)^n-m

(tⁿ)²

Factoring

100

Factor:

6x²-3x

3x(2x-1)

200

Factor:

x² - 25

(x+5)(x-5)

300

Factor:

x² + 14x + 49

(x+7)²

400

Factor:

2m² - m - 1

(2m+1)(m-1)

500

Factor:

3x⁶ - 48x²

3x²(x²+4)(x+2)(x-2)

Multiplying

100

Multiply:

(x-1)(x+3)

x²+2x-3

200

Multiply:

(10r-3s)(r+2s)

10r²+17rs-6s²

300

Multiply:

(a+b)²

a²+2ab+b²

400

Multiply:

(z+3)(z²-2z+4)

z³ + z² - 2z + 12

500

Multiply:

(x² - 4x + 8)(x² + 4x + 8)

x⁴ + 64

Polynomial Equations

100

Solve:

q(2q+6) = 0

q = 0  or  q = -3

200

Solve:

t² + 7t + 6 = 0

t = -1  or  t = -6

300

Solve:

12 + 4m = m²

m = 6  or  m = -2

400

Solve:

(a+3)(a-3) = 40

a = 7  or  a = -7

500

Solve:

u⁴ = 36u²

u = 0 (double root)  or  u = 6  or  u = -6