Polynomial Functions and Complex Zeros

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

• i²

• a-bi

• a+bi

• -i²

All imaginary roots comes in pairs.

• True

• False

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

• f(x) = (x+2)(x-1)(x-4)

• f(x) =x³ - 3x² - 6x + 8

• f(x) = x³ + 8

• f(x) = x³ - 3x² + 8

Which of the following would be a root with 3i?

• 3i²

• -3i

• 3i

• -3i²

Identify the zeros:

Remember to look at your roots, multiplicity, and end behavior!!

Use your notes!

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1

Identify the zeros: Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1

Which point does not represent a zero of a polynomial?

• (-2, 0)

• (-1, 0)

• (0, 4)

• (2, 0)

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

• -1

• 1

• -2

• -3

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

• x-intercept

• zero

• root

• all of these.

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

• -1

• 1

• -2

• -3