Illustrating Polynomial Functions

What is the degree of the function:

f(x) = 6x² + 4 - 3x⁴ + 5x - 9x³

answer choices

• 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

This polynomial would have how many roots?

f(x) = 4x⁵ - 3x⁴ + 2x² - 7x + 1

• 7

• 5

• 4

• 1

The exponent of polynomial functions must be always _________.

• negative integers

• positive integers

• fractions

• radicals

How should the polynomial function f(x) = 2x + x³ + 3x⁵ + 4 be written in standard form?

• 𝑓(𝑥) = 𝑥³ + 2𝑥 + 3𝑥⁵+ 4

• 𝑓(𝑥) = 4 + 3𝑥⁵+ 2𝑥 + 𝑥³

• 𝑓(𝑥) = 4 + 2𝑥 + 𝑥³ + 3𝑥⁵

• 𝑓(𝑥) = 3𝑥⁵+ 𝑥³+ 2𝑥 + 4

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

• 3

• 2

• 1

• 0

Fill in the blank: The maximum number of turning points is ____ less than the degree of the polynomial.

• 3

• 0

• 1

• -2

What are the zeros of the polynomial y = (x + 4)(x + 1)(x - 3)?

• -4, -1, 3

• 4, 1, -3

• -4, 1, -3

• -4, -1, -3