Polynomial Roots

State the zeros of the polynomial (include multiplicity):
f(x) = (x²+9)(x -1)³(2x + 5)

• -9, 1, -5
• -9, 1 (multiplicity of 3), -5
• ± 3i , 1 (multiplicity of 3), -5∕2
• ± 3i, 1, -5

Tags

CCSS.HSF-IF.C.7C

List the potential real zeros of:
f(x) = 5x³ - x² + 3

• ±1/5, ±3/5, ±1, ±3
• ±1/3, ±5/3, ±1, ±5
• ±1/5, ±3/5, ±1, ±3, ±5
• ±1/5, ±1/3, ±1, ±3, ±5

Write the polynomial with the least degree having the given roots.

• A
• B
• C
• D

True or False: If (7x + 4) is a factor of some polynomial function, then 4/7 is a zero of the function.

• True

• False

Tags

CCSS.HSA.APR.B.2

How many roots or zeros does the equation
f(x) = 5x⁴-8x³+4x²-6x+3 have?

• 3
• 4
• 5
• 0

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Given the roots, which roots are missing: -7i, 3√2, _____, ______

• -7i, 3√2,

• -7i, -3√2,

• 7i, 3√2,

• 7i, -3√2,

All imaginary roots comes in pairs.

• True
• False

Tags

CCSS.HSN.CN.C.7

CCSS.HSN.CN.C.9

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

Write the polynomial with the given zeros

• A

• B

• C

• D

Tags

CCSS.HSA.APR.B.3