Exponents and Polynomials Review

Laws Of Exponents

100

Simplify using Properties of Exponents: (3²)⁵

3¹⁰

200

What is any number raised to the 0 power equal to?

    (example) 9⁰

1

300

Simplify using Properties of Exponents: (4¹²) * (4²)³

4¹⁸

400

When dividing powers with the same base what happens to the exponents

They are subtracted

500

Simplify using Properties of Exponents: 5¹³ / 5²⁰

1/5⁷

Adding/Subtracting Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

500

Subtract.

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(n - 4)(n + 4)

n²  - 16

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factoring

100

Factor:

y² - 10y + 8

(y - 2)(y - 4)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

p² +2p -35

(p-5)(p+7)

400

Factor by grouping

x³ + 2x² + 6x + 12

(x² + 6)(x + 2)