Graphs of Polynomials Review

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

Is the leading coefficient positive or negative

• positive
• negative

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

If a zero of a polynomial function has multiplicity 2 (is a double), that means:

• There is a zero at 2

• The graph will "bounce" off the x-axis at that zero

• The graph will "cross" the x-axis at that zero

• Double zeros don't exist

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

What is the equation in factored form of this graph?

• 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)

How does a factor's degree affect the graph's behavior at the root?

*Check ALL that apply!!

• An ODD degree of 1 will CUT straight through the x-axis

• An EVEN degree will BOUNCE at the x-axis

• An ODD degree of 3 (or higher) will SQUIGGLE through the x-axis.

• An ODD degree of 3 (or higher) will CUT straight through the x-axis.

• An EVEN degree will SQUIGGLE through the x-axis

• bounce
• cut
• squiggle
• 2
• 1
• 0
• 5

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4