Exploring Graphs of Cubic Polynomial Functions

What is the highest power of a cubic polynomial?

• 4

• 1

• 2

• 3

What are the zeros of the polynomial y = (x + 5)(x - 2)(x - 6)?

• -5, -2, 6

• 0, 2, 6

• -5, 2, 6

• 5, -2, -6

What do the zeros of a polynomial represent on its graph?

• Y-intercepts

• Turning points

• X-intercepts

• Maximum points

Which method can be used to multiply binomials to find the standard form of a polynomial?

• FOIL

• Double distribution

• Area method

• All of the above

What is the standard form of the polynomial y = (x + 5)(x - 2)(x - 6)?

• x^3 + 3x^2 - 28x - 60

• x^3 - 3x^2 - 28x + 60

• x^3 + 3x^2 + 28x - 60

• x^3 - 3x^2 + 28x + 60

How many turning points does a cubic polynomial typically have?

• 3

• 0

• 1

• 2

What is the effect of the leading coefficient on the zeros of a polynomial?

• It removes some zeros

• It does not affect the zeros

• It changes the zeros

• It adds more zeros

What is the completely factored form of y = x - 2)(x^2 - 36)?

• (x - 2)(x^2 - 36)

• (x - 2)(x - 6)(x - 6)

• (x - 2)(x + 6)(x + 6)

• (x - 2)(x - 6)(x + 6)

What are the zeros of the polynomial y = -2x^3 + 6x^2 + 80x?

• 5, 0, -8

• -5, 0, 8

• 0, -8, 5

• 0, 8, -5

What is the main difference between quadratic and cubic polynomial graphs?

• Quadratics have more zeros

• Cubics have more turning points

• Quadratics have more turning points

• Cubics have fewer zeros