Identifying Zeros of Polynomials

How many roots does f(x) = (x + 1)(x -6)(x -10) have?

• 3

• 1

• 6

• 10

What are the roots of f(x) = (x - 4)(x +1) (x + 3)

• -4, 1, and 3

• -4 and 1

• 4, -1. -3

• 3

The function f(x) = x⁴ - 5x³ + 2x² - x + 12, has (at most) how many roots?

• 1

• 2

• 3

• 4

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

If a polynomial has 2 factors, it will have 2 zeros (or 1 zero with a multiplicity of 2).

• True

• False

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Identify the zeros:

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1

Which does not describe the zeros of a polynomial?

• Where a graph crosses the x-axis

• Also known as the roots

• Where x=0

• The solution when a factor is set equal to zero

Which zero will "bounce" off of the x-axis for x(x - 1)²(x + 2)(x + 3)

• -1

• 1

• -2

• -3

Which zero will "bounce" off of/touch the x-axis for x(x - 1)²(x + 2)(x + 3)

• -1

• 1

• -2

• -3