Functions and Polynomial Review

Vocabulary

100

This is what a polynomial with one term is called.

Monomial

200

This is what a polynomial with two terms is called.

Binomial

300

The number in front of a variable is called this.

Coefficient

400

This is what we call the largest exponent in a polynomial.

Degree

500

This is another name for the solutions of an equation where a set of polynomial factors is equal to zero.

Roots

Adding or Subtracting

100

Add the polynomials:

(2x² + 8x + 4) + (4x² - 5x + 2)

6x² + 3x + 6

200

Subtract the polynomials:

(a³ - 2a²) - (3a² - 4a³)

5a³ - 5a²

300

Add the polynomials:

(7x³ - 3x² + 5x - 5) + (5x² - 8x - 3)

7x³ + 2x² - 3x - 8

400

Subtract the polynomials:

(-5x² - 9x + 11) - (-2x² + 3x + 11)

-3x² - 12x

500

Add the polynomials:

(5x⁴ + 2x³ + 12) + (7x³ + 6x²)

5x⁴ + 9x³ + 6x² + 12

Functions

100

Given f(x) = x + 2, find f(2).

4

200

Given h(x) = 2x + 7, find h(-2).

3

300

Given g(x) = x²+7x+9, find g(-4).

-3

400

Given w(x) = 2x + 6, find the value of x when w(x) = 16.

x = 5

500

Given t(x) = 4x - 10, find the value of x when t(x) = 10

x = 5

Multiplying

100

Multiply the polynomials:

3(5x² + 3x - 8)

15x² + 9x - 24

200

Multiply the polynomials:

2x(-3x² - 7x + 9)

-6x³ - 14x² + 18x

300

Multiply the polynomials:

(x + 2)(3x² - 5x + 7)

3x³ + x² - 3x + 14

400

Multiply the polynomials:

(2x - 7)²

4x² - 28x + 49

500

Multiply the polynomials:

(3x² + 4x)(2x² + 5x - 9)

6x⁴ + 23x³ - 7x² - 36x

Zero Product

100

Solve using the Zero Product Property.

(x - 5)(x + 3) = 0

x = 5    x = -3

200

Solve using the Zero Product Property.

(3x - 8)(2x + 4) = 0

x = 8/3   x = -2

300

Find the GCF.

18y⁵ + 27y

9y

400

Find the GCF.

12x⁴ - 21x²

3x²

500

Find the GCF and solve:

4x³ - 20x² = 0

x = 0   x = 5