Polynomial and Multiplicity

These functions have the same end behavior model: y₁ = 3x⁵ + 2x³ + x - 1    and    y₂ = 3x²(2x³ + 4x + 2)

• true

• false

Which of these describes end behavior for the polynomial y = 3x⁴ + 2x³ - 7?

• a

• b

• c

• d

Which of these describes end behavior for the polynomial y = 3x⁵ + 2x³ - 7?

• a

• b

• c

• d

Which of these polynomials has end behavior described in option c?

•  y= (x² + 3)(x + 2)

• y = -3x(x + 4)³

• y = -3x(x + 2)⁴

• none of these

Factor this expression:
2x³ + 2x² - 24x

• 2x(x + 4)(x - 3)

• 2x(x - 4)(x - 3)

• 2x(x - 4)(x + 3)

• none of these

A polynomial factors as
f(x) = x³(x + 1)²(x - 4). List the zeros of f(x) and their multiplicity.

• 0 multiplicity 3, 1 multiplicity 2, -4 multiplicity 1

• 0 multiplicity 3, -1 multiplicity 2, 4 multiplicity 1

• 1 multiplicity 2, -4 multiplicity 1

• -1 multiplicity 2, 4 multiplicity 1

You divide the polynomial g(x) by
(x - 3) and obtain a remainder of 9, what is g(3)?

• -3

• 3

• 9

• cannot be determined

When a polynomial function f(x) is divided by
 (x + 2), the remainder is 0. 
What is f(2)?

• -8

• 8

• 12

• cannot be determined

When setting up this synthetic division, what polynomial is being divided?

• 2x⁴ + 3x² - x + 2

• 2x⁴ + 3x³ - x² + 2

• 2x⁴ - 3x² + x - 2

• cannot be determined

Odd Multiplicities have which of the following effects on the x-axis?

• Cross the x-axis (intersects)

• Turn on the x-axis (bounce)