Ch5 Polynomials & Factoring

Monomials

100

Simplify.

(x⁵)(x⁷)(x^-2)

x¹⁰

200

Simplify

(x⁷y⁸z³)⁰

1

300

Simplify

(14x¹²) / (2x^-3)

7x¹⁵

400

Simplify.

(5xyz)(-6x³yz⁰)

-30x⁴y²z

500

Simplify.

(5^x-1) / (5^x+1)

1/25  or 0.04

Polynomials

100

Simplify.

(5x + 8) + (4x - 7)

9x + 1

200

Simplify.

(-3x² + 7x + 23) - (-8x² - 5x + 13)  

5x² + 12x + 10

300

Simplify.

5xy² + 10x²y + 10xy² - 5xy²

10x²y + 10xy²

400

Multiply and Simplify.

(3x - 5)(4x² - 2x - 1)

12x³ - 26x² + 7x + 5

500

What is the degree of this polynomial?

y = 5xyz + 6xy⁶ + 4x⁷y

8

Factoring

100

Factor.

45x³y + 9xy²

9xy(5x² + y)

200

Factor.

x² + x - 42

(x + 7)(x + 6)

300

Factor.

9x² - 64

(3x - 8)(3x + 8)

400

Factor.

2x² + 5x + 3

(2x + 3)(x + 1)

500

Factor.

6x² + 23x + 20

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

Polynomial Functions

100

State the degree

y = x(x+4)(x-9)

3

200

State the x-intercepts.

y = x(x-1)(x+4)

0, 1, -4

300

Find the x-intercepts.

y = x³ - 4x

0, 2, and -2

400

Write an equation for a polynomial function that has x-intercepts at 0, 1, and -1.

y = x³ - x

500

Solve for all possible values of x. Round 2 decimal places.

x⁴ + 4x² - 45 = 0

x = {2.24 or -2.24}

Final Jeopardy

500

Factor Completely.

16x³ + 54y³

2(2x + 3y)(4x² - 6xy + 9y²)