Properties of Polynomial Functions

Which value is the vertex?

• (-4, 0)

• (-1, -9)

• (0, -8)

• (2, 0)

Does this graph have a maximum or a minimum?

• maximum

• minimum

• I am not sure.

• neither

Does the equation open or or down? Is the vertex a maximum or minimum?

• up, minimum

• down, maximum

• up, maximum

• down, minimum

The solution, root, x-intercept, and zero are all the same thing.

• True

• False, because the solution and root are the same but the x-intercept and zero are different

• False, because the x-intercept and root are the same but the zero and solution are different

• False, they are all different

What are the zeroes of this graph?

• x = -4 and 2

• x= -1 and 0

• x = 9 and -8

• x= 4 and -2

What is the equation of this parabola in it’s factored form?

• y=(x-2)(x+3)

• y=(x+2)(x-3)

• y=(x+2)(x-3)(x-6)

• y=(x+3)(x-6)

Check all that apply: quadratics have:

• a minimum or maximum

• a turning point

• 0, 1, or 2 y-intercepts

What does a factor tell you about about a polynomial function

• Where the y-intercepts of the function are

• Where the x-intercepts of the function are

What are the
zeros of the polynomial
y = (x + 4)(x + 1)(x - 3)?

• -4, -1, 3

• 3, -3, 4, 1

• 4, 1, -3

• 3, -4, -1, 3

How many zeros does this polynomial have?

y = 3x⁵ + 6x³ - 2x - 10

• 1

• 5

• 3

• 2