Equations from Complex Roots

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

• 3i²

• -3i

• 3i

• -3i²

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

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -2-5i is a root. 

• -2-5i

• -2+5i

• 2+5i

• 5i

All imaginary roots comes in pairs.

• True

• False

Write an equation in standard form for the function with roots at x = 8 and x = 7i.

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

• -3+5i

• -3-5i

• -5i

• 3-5i

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -7i is a root. 

• 7i

• -7i+1

• 1-7i

• 1+7i

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.

• x³-5x²+4x-20

• x³-5x²+4x-23

• x³-5x²+4x-19

• x³-10x²+4x-20