Chapter 4 Test Review

Polynomial Functions

100

Is the function even or odd?

4x⁵ + x - 4

Odd

200

Is the function even or odd?

7b⁶ + 2b⁵ - b³ + 12

Even

300

What is a and n?

1/2x⁵ - 4x⁴ + 1/3x³ + 3x - 2

a = 1/2 and n = 5

400

What is a and n?

a³ + 4a²b² + b⁴

Not a polynomial; N/A; trick question

500

What is a and n?

15 - 4y² + 5y - 2y⁴ + 8y

a = -2 and b = 4

Operations with Polynomials

100

(x + 5) + (2x + 7)

3x + 12

200

(2x² + 3x - 5) + (x² - 5x + 7)

3x² - 2x + 2

300

(x² + 2x - 5) - (3x² - 4x +7)

-2x² + 6x - 12

400

(6x² + 5x + 10) - (4x² + 6x + 12)

2x² - x - 2

500

5x(2x - 2) + 6x(x² + 6)

6x³ + 10x² + 26x

Dividing Polynomials

100

(x²+7x+10) ÷ (x+5)

x+2

200

(x²+4x+3) ÷ (d+1)

d+3

300

(6y²+y - 2)(2y - 1)^-1

3y+2

400

(2x² - 5x - 4) ÷ (x - 3)

2x+1 - 1/x-3

500

(3x⁵+5x⁴+x+5) ÷ (x+2)

3x⁴-x³+2x²- 4x+9 - 13/x+2

FOIL

100

x²(2x+9)

2x³+9x²

200

(x³ - y)(x³ + y)

x⁶ - y²

300

(x - 2y)(x + 2y)

x² - 4y²

400

(x² - 7)(2x³ + 4)

2x⁵ - 14x³ + 4x² - 28

500

(x + y)(x³ - 3xy - y²)

x⁴ + x³y - 3x²y - 4xy² - y³