Complex Polynomials Roots

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

• i²

• a-bi

• a+bi

• -i²

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• A

• B

• C

• D

All imaginary roots comes in pairs.

• 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)

Find a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11

• P(x) = x³-2x²+9x+18

• P(x) = x³+2x²+9x+18

• P(x) = x²-3ix+2x-6i

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• A

• B

• C

• D

Write the polynomial with the given zeros

• A

• B

• C

• D

Write the polynomial with the given zeros

• A

• B

• C

• D

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• x⁴+2x³-16x²-82x-69

• x⁴+7x³-16x²-82x-65

• x⁴+2x³-16x²-82x-65

• x⁴+2x³-16x²-82x-68

Write a polynomial function of least degree with integral coefficients that has the given zeros.

• x³-5x²+4x-20

• x³-5x²+4x-23

• x³-5x²+4x-19

• x³-10x²+4x-20