Unit 4: Polynomials

Standard Form & Degree

100

The degree of this monomial: 8a³

What is 3

200

The degree of this polynomial: -3c⁷+8c³+c

What is 7

300

This polynomial in standard form: x²+4-3x

What is x²-3x+4

400

This polynomial in standard form: 5y-2y²

What is -2y²+5y

500

This polynomial in standard form: 4x-1+5x³+7x

What is 5x³+11x-1

Graphing Polynomials

100

How many solutions does the x³−2x²−3x have? 

3

200

Find the end behavior of the function x⁴−4x³+3x+25

Both increasing

300

What is the graph of a polynomial that that the leading term  "–3x³"?

Left end increasing and right end decreasing

400

Is the an even or odd function: f(x)= -2x⁵ - x³ + 3x ?

Odd

500

Is the function even or odd: P(x) = -x⁴ - x² + 3x - 2

Neither

Addition & Subtraction

100

Find the sum: 12p² + 8p²

What is 20p²

200

Simplify: (4w-5) - (9w+2)

What is -5w-7

300

Simplify: (6x²+7) + (3x²+1)

What is 9x²+8

400

Simplify: (2k²-k+3) - (5k²+3k-7)

What is -3k²-4k+10

500

Simplify: (2g⁴-3g+9) + (-g³+12g)

What is 2g⁴-g³+9g+9

Multiplication

100

Simplify: 7(x+4)

What is 7x+28

200

Simplify: -w²(w-15)

What is -w³+15w²

300

Simplify: (2h-7)(h+9)

What is 2h²+11h-63

400

Simplify: (2v+6)(2v-6)

What is 4v² - 36

500

Simplify: (6t²+1)²

What is 36t⁴+12t²+1

Division

100

(x²-3x-40)/ (x+5)

x-8

200

2x³-3x²-18x-8) / (x-4)

2x²+5x+2

300

(x³+27) / (x+3)

x²-3x+9

400

(x³+5x²-3x-1) / (x-1)

x²+6x+3 + 2/x-1

500

(2x²+x-7) / (x-5)

2x+11 + 48/x-5