Final Exam Review CP - Polynomials & Operations of Rationals

A polynomial has roots of -4, 1, and 6. What is the polynomial in factored form?

• (0, 72)

• (0, 56)

• (0, 64)

• (0, 68)

What is a possible equation for the polynomial in factored form?

• f(x) = -x(x + 1)(x + 3)(x + 4)

• f(x) = -x(x - 1)(x - 3)(x - 4)

• f(x) = x(x - 1)(x - 3)(x - 4)

• f(x) = x(x + 1)(x + 3)(x + 4)

Describe the end behavior by the degree and leading coefficient.

• The function has an even degree and a positive leading coefficient.

• The function has an even degree and a negative leading coefficient.

• The function has an odd degree and a positive leading coefficient.

• The function has an odd degree and a negative leading coefficient.

The degree of a polynomial is always equal to:

• end behavior

• y-intercept

• number of roots or solutions

• maximum number of turns

Identify the solutions.

• x = -2, x = -1, x = 0

• x = -2, x = 0

• x = -1, x = 0, x = 2

• x = -2, x = 0, x = 1

Which of the following could be the equation of this graph in factored form? Pay attention to the multiplicities.

• f(x) = (x - 4)(x - 1)²(x + 2)(x + 4)

• f(x) = (x - 4)(x + 1)²(x + 2)(x + 4)

• f(x) = (x - 4)(x - 1)²(x - 2)(x + 4)

• f(x) = (x + 4)(x + 1)²(x - 2)(x - 4)

Which of the following could be the equation of the graph in factored form?

• y = -(x + 1)(x - 2)(x - 4)

• y = (x + 1)(x - 2)(x - 4)

• y = -x(x + 1)(x - 2)(x - 4)

• y = (x + 1)(x - 3)(x-1)²

• (0, 0)

• (0, 2)

• (0, 2)

• (0, -8)

Using the graph, which root has a multiplicity of 2?

• -1

• -3

• -120

• 4