Polynomial Functions

Write the equation of the polynomial function
zeros: 0, -2, 4
degree: 5   
0 has a multiplicity of 3

• f(x) = x³(x-2)(x+4)

• f(x) = x³(x+2)(x-4)

• f(x) = x²(x-2)(x+4)

• f(x) = x²(x+2)(x-4)

The degree of the polynomial determines the number of roots.

• True

• False

What is the predicted end behavior of: y=-2x⁴+3x-1

• up on both ends

• down on both ends

• up on left, down on right

• down on left, up on right

Based on the end behavior which option best describes the leading term?

• negative coefficient, even degree

• negative coefficient, odd degree

• negative degree, odd coefficient

• negative degree, even coefficient

Classify the polynomial by degree.

• quartic

• quintic

• 6th degree polynomial 

• 7th degree polynomial

Which of the following could be a possible equation for the function shown?

• f(x) =-2x³ + x² - 5x + 1

• f(x) = 2x³ - 4x² + x + 1

• f(x) = 3x² + 5x + 1

• f(x) = -2x³ +3x - 1

The function shown has:

• Degree two with negative leading coefficient.

• Degree three with negative leading coefficient.

• Degree four with negative leading coefficient.

• Degree four with positive leading coefficient.

State the minimum degree of the function shown:

• 3

• 4

• 5

• 6

Which of the following functions contain line symmetry?

• g(x) = 3x³ + 2x²

• g(x) = 5x⁴ + 3x³ + 4x²

• g(x) = 3x⁶

• g(x) = 18x³

Which description best matches the function shown:

• Odd degree with positive leading coefficient.

• Even degree with positive leading coefficient.

• Degree three, with negative leading coefficient.

• Degree four, with negative leading coefficient.