Roots and Zeroes of Polynomials

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 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

Find all zeroes given a factor of (x+3).

y = 2x³ + 5x² - 6x - 9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

The degree of the polynomial determines the number of roots.

• True

• False

How many positive solutions does the following polynomial have?

• 4, 2, or 0

• 4

• 3 or 1

• 3

A Polynomial of Degree 6 CAN have the following number of imaginary roots:

• 1

• 4

• 3

• 8

Tags

CCSS.HSN.CN.C.9

Which of the following is NOT a factor for the polynomial with roots -2, 3/4, and 5i

• (x + 5i)

• (x + 2)

• (3x - 4)

• (4x - 3)

Tags

CCSS.HSF-IF.C.7C

• 3 real positive, 2 real negative, 0 imaginary

• 0 real positive, 1 real negative, 4 imaginary

• 1 real positive, 2 real negative, 2 imaginary

• 1 real positive, 0 real negative, 4 imaginary

How do you feel about roots of polynomials?

• I am confident that I understand all parts of roots of polynomials.

• I am okay with roots of polynomials but sometimes get mixed up.

• I am not sure about roots of polynomials. Sometimes I get it but most of the time I am lost.

• What are roots of polynomials? I don't even know what this is about.

Find the root(s) of the function.

• x = 3

• x = {-3, -1, 2}

• x = {-3, 2}

• x = -1