Unit 7 Polynomials Review

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

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Simplifying Radicals

100

Simplify √45

3√5

200

Simplify √75

5√3

300

Simplify 2√12

4√3

400

Simplify √384

8√6

500

Simplify -7√96

-28√6

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:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

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

Which law for exponents says that when dividing powers with the same base, you can subtract the exponents?

Power of a Quotient 

        or

Quotient rule

500

Simplify using Properties of Exponents: 5¹³ / 5²⁰

1/5⁷

Factoring

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

-5y² - 22y - 8

(-5y-2)(y+4)

400

Factor:

x² - 3x + 4ax - 12a

(x+4a)(x-3)

500

Factor:

n³ - 9n

n(n+3)(n-3)

Solve by Factoring

100

Solve by factoring:

x² - 25=0

x=-5 and x=5

200

Solve by factoring:

3x² - 3x - 60=0

x=-4 and x=5

300

Solve by factoring:

-5x² + x = -4

x=-4/5 and x=1

400

Solve by factoring:

30x² - 4 = 2x

x=2/5 and x=-1/3

500

Solve by factoring:

5n² - 40n = 0

n=0 and n=8