Algebra 2 Review

Exponents

100

(3²)⁴

3⁸

200

(2x³) / (3xy²)

(2x²) / (3y²)

300

(-2)^-4

1/16

400

(7y⁸) / (7x⁸y⁷)

y / x⁸

500

( (2xy⁵)³ x⁶ y³) / y⁷

8x⁹y¹¹

Multiplying Polynomials

100

Multiply:

(x+2)(x+1)

x²+3x+2

200

Multiply:

(2p+5)(p-7)

2p²-9p-35

300

Multiply:

(6k-4)(4k-5)

24k²-46k+20

400

Multiply:

(2x-3v)(2x²+7xv+6v²)

4x³+8x²v-9xv²-18v³

500

Multiply:

(2x²+8x+2)(8x²+5)

16x⁴+64x³+26x²+40x+10

Factoring

100

Factor:

x²+10x+25

(x+5)(x+5)

200

Factor:

x²+x-12

(x-3)(x+4)

300

Factor:

5x²+11x+2

(5x+1)(x+2)

400

Factor:

14x²+40x-6

(2x+6)(7x-1)

500

Factor:

3x³+2x²+6x+4

(3x+2)(x²+2)

Solving Polynomials

100

Solve for x:

(x-4)(x-10)=0

x = 4, 10

200

Solve for x:

(2x-7)(3x+2)=0

x = 7/2 , -2/3

300

Solve for x:

x²-28=-3x

x = 4, -7

400

Solve for k: 

k²-5k-9 = -3k²+4k

k = -3/4, 3

500

Solve for n:

-7n²-6n+7=-6n³

n = -1, 1, 7/6

Dividing Polynomials

100

Divide:

(2x²+7x+6)/(x+2)

2x+3

200

Divide:

(9m³-10m²-3m+4)/(m-1)

9m²-m-4

300

Divide: 

(10v⁴+20v³-31v²+v+19) / (v+3)

10v³-10v²+61v-182 R565

400

Divide:

(2x⁴-2x³-9x+9)/(x-1)

2x³-9

500

Divide:

(7m³+7m²+10) / (m+1)

7m²  R10