Polynomials with Complex Zeros

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

• i²

• a-bi

• a+bi

• -i²

Tags

CCSS.HSN.CN.C.9

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

Tags

CCSS.HSA.APR.B.3

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

All imaginary roots comes in pairs.

• True

• False

Tags

CCSS.HSN.CN.C.9

How many complex zeros are there?

• 2

• 3

• 1

• 4

Tags

CCSS.HSN.CN.C.9

What is the factor associated with a zero of 4 - 3i

• 4 - 3i

• 4 + 3i

• ( x - 4 - 3i )

• ( x - 4 + 3i )

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)

Tags

CCSS.HSA.APR.B.3

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

Tags

CCSS.HSN.CN.A.3

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

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3