Find Zeros and Roots of Polynomials

What is another word for zeros?

• solutions

• x -intercepts

• roots

• All of the these!

Tags

CCSS.HSF-IF.C.7C

What are the zeros in (x-7)(x+3)

• 7 and 3

• 7 and -3

• -7 and -3

• no zeros

Tags

CCSS.HSA.APR.B.2

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

Tags

CCSS.HSA.APR.B.3

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

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

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

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

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