Polynomial Graphing & Factoring Review

Front

What are the zeros of the polynomial function? y = (x + 2)(x - 7)³

Back

The zeros are -2 and 7 with a multiplicity of 3.

Front

List the zeros for the function f(x)=(x+4)(x-3)(x-2)

Back

The zeros are x = -4, x = 3, and x = 2.

Front

Determine the end behavior of the graph of f(x) = 3x⁴ + 2x - 5.

Back

As x → ∞, f(x) → ∞; As x → -∞, f(x) → ∞.

Front

Identify the zeros from the following options: x=-2, x=-1, x=0, x=-2, x=0, x=-1, x=0, x=2, x=-2, x=0, x=1

Back

The zeros are x = -2, x = 0, and x = 1.

Front

Factor the polynomial: x³ + 1

Back

The factored form is (x + 1)(x² - x + 1).

Front

What is the degree of the polynomial function f(x) = 4x⁵ - 3x² + 2?

Back

The degree is 5.

Front

Define 'multiplicity' in the context of polynomial zeros.

Back

Multiplicity refers to the number of times a particular zero is repeated in a polynomial.

Front

What is the leading coefficient of the polynomial f(x) = 2x⁴ - 5x³ + 3?

Back

The leading coefficient is 2.

Front

How do you find the x-intercepts of a polynomial function?

Back

Set the polynomial equal to zero and solve for x.

Front

What does it mean if a polynomial has an even degree?

Back

The ends of the graph will rise or fall in the same direction.