Modelling Polynomial Functions

Write a polynomial function with the given zeros.

• A

• B

• C

• D

f(x) = -3x⁴ + x³ - 2x² + x - 1 State the maximum number of turns the graph of f(x) could make.

• 3

• 4

• 2

• 1

f(x) = -3x⁴ + x³ - 2x² + x - 1 State the maximum and minimum number of zeros for f(x).

• Max: 4 Min: 1

• Max: 3 Min: 0

• Max: 4 Min: 0

• Max: 3 Min: 1

What is the degree of the function:

f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

• 1

• 2

• 3

• 4

What is the leading coefficient of the function:

f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

• 6

• 3

• -3

• 4

What type of function is:

f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

• linear

• quadratic

• cubic

• quartic

A function with degree 3 is called

• constant

• cubic

• linear

• quadratic

Simplify:

(4x³ + 2x² - 5x - 9) + (-3x³ - 5x² - x + 11)

• 7x³ + 7x² - 6x + 2

• x³ - 3x² - 6x + 2

• 7x³ - 3x² - 6x + 2

• x³ + 7x² - 4x + 2

Simplify:

(4x³ + 2x² - 5x - 9) - (-3x³ - 5x² - x + 11)

• 7x³ + 7x² - 4x - 20

• 7x³ - 3x² - 6x + 2

• x³ - 3x² - 6x + 2

• x³ + 7x² - 4x - 20

Evaluate: f(4) = -2x² + 3x - 8

• -28

• 68

• 36

• -60