Polynomial Review

This is the correct end behavior model for the function
y = (x - 2)²(x² + 1)

• true

• false

This is the correct end behavior model for the function
y = -2 (x - 2)³(x² + 1)

• true

• false

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

• true

• false

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

Find the zeros of this polynomial and describe their multiplicity.
f(x) = 3x⁴ - 12x²

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

•  -2 multiplicity 1, 2 multiplicity 1

• 0 multiplicity 2, -2 multiplicity 1, 2 multiplicity 1

• 3 multiplicity 4, -12 multiplicity 2

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

Classify by the DEGREE:
4x³ - 5x² + 2x - 1

• Degree of 1

• Degree of 2

• Degree of 3

• Degree of 4

Subtract:
(3x² - 3x + 2) - (-3x² + 2x - 1)

• 0x² - x + 1

• 6x² - x + 1

• 6x² - 5x + 3

• 6x² + 5x + 3

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

• True

• False

Classify by the DEGREE:
3x - 2

• Degree of 1

• Degree of 2

• Degree of 3

• Degree of 4