Precalculus Polynomials

Between 2 real zeros of a polynomial, there must be at least one local minimum or local maximum.

• TRUE

• FALSE

What are the zeros of the function?

• 4, 1

• -3, -1, 2, 5

• -3, -1, 30, 2, 5

• 3, 1, -2, -5

Write the factored form of the polynomial with roots x=-2. x=5, x=2/3

• y=(x-2)(x+5)(3x+2)

• y=(x-2)(x+5)(2x+3)

• y=(x+2)(x-5)(2x-3)

• y=(x+2)(x-5)(3x-2)

If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

If the there is a turning point on the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

The degree of a polynomial determines...

• the maximum number of x-intercepts

• the number of turning points

• if the end behavior is up or down

• the y-intercept

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

• -2, 7 multiplicity 3

• -2, 7, 3

• 2, -7 multiplicity 3

• 2, -7, 3

Some polynomials have roots that contain an imaginary number. This means you will NOT see them on the graph.

• TRUE

• FALSE

Which of the following would be the correct factored form with roots 2, 5i, and 6?

• (x-6)(x-2)(x+5i)(x-5i)

• (x+6)(x+2)(x+5i)

• (x-6)(x-2)(x-5i)

• (x+6)(x+2)(x-5i)

If a+bi is a root of a polynomial, then _______ is also a root.

• i²

• a-bi

• a+bi

• -i²