Polynomial Functions

Classify the polynomial by degree.

• quartic

• quintic

• 6th degree polynomial 

• 7th degree polynomial

Which polynomial could be a match for the graph?

• y = 2x² - 5x + 2

• y = -5x⁴ - 5x² + 2

• y = 3x³ + 5x² - 4x + 6

• y = -x³ + 5x - 6

Which polynomial could be a match for the graph?

• y = 5x⁴ - 17x + 2

• y = 11x² - 14

• y = -2x² + 10

• y = -3x⁴ - 11x³ + 17

Find the zeros of the following function:
y = (x + 1)(x - 2)(x - 3)

• -1, 2, 3

• -1, -2, -3

• -1, -2, 3

• 1, 2, 3

Find the zeros of the following function:
y = (x - 2)(x + 9)

• -2, -9

• -2, 9

• 2, 9

• 2, -9

Write the following polynomial in standard form:
7x + 3x + 5

• 7x + 3x + 5

• 4x + 5

• 10x + 5

• 5 + 10x

Write the following polynomial in factored form:
x³ - 7x² - 18x

• x(x + 6)(x - 3)

• x(x - 9)(x + 2)

• (x² - 9)(x + 2)

• (x² + 6)(x - 3)

Determine the end behavior of the polynomial:
y = -8x² + 11x³ - 17

• up, up

• up, down

• down, up

• down, down

Write the following polynomial in standard form:
-x⁵ + 4x³ - 9x⁵ + 7x² + 14 - 2x³

• -10x⁵ + 2x³ + 7x² + 14

• -8x⁵ + 6x³ + 7x² + 14

• 6x³ - 10x⁵ + 14 + 7x²

• 10x⁵ + 2x³ + 7x² + 14

Write a polynomial in standard form with the following zeros:
-2, 3, 1

• x³ - 4x² + 3x + 2x² - 8x + 6

• x³ + 4x² - 8x + 6

• x³ - x² + 6

• x³ - 2x² - 5x + 6