Comparing 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)

What is the end behavior as x → -∞ f(x)→ ?

• -∞

• ∞

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

Give the equation of the 4th degree polynomial with zeros: 1 with multiplicity 2 and i. 

• x² - 4x + 4

• x³ - 4x² + 4x +ix² -4ix + 4i

• x⁴ - 4x³ + 5x²-4x + 4

• x⁴ - 4x³ + 5x²-4x + 4i

What are the linear terms of the polynomial function?

• (x-2)(x-1)(x+1)(x-2)

• (x-2)(x-1)(x+1)(x+2)

• (x-2)(x-1)(x+1)(x+2)(x-4)

• (x-2)(x-1)(x+1)(x+2)(x+4)

What is the least degree of the polynomial?

• 2

• 4

• 3

• 5

What are the zeros of the polynomial?

• X=5, x=-3(multiplicity of 2)

• x=-3, x=5(multiplicity of 2)

• x=3, x=-5

• x=5

The degree of the polynomial determines the number of roots.

• True

• False