Cubic With Imaginary Roots

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

• 2

• 1

• 3

• 0

Which of the following roots match the above polynomial:

• -3,-1,4

• -3,2i,-2i

What is the degree of a polynomial that has roots of -2, 4i and -4i ?

• 3

• 4

• 1

• 2

Write a cubic polynomial in standard form with roots 3 and 4i

• x³-3x²+16x-48

• x³-8x²-3x+52

• x³+3x²+3x+1

• x³+3x²-16x+48

Tags

CCSS.HSA.APR.B.3

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

Write a cubic polynomial in standard form with roots -4, 2+3i

• x³-3x+52

• x³-8x²-3x+52

• x³+8x²-3x+52

• x³-29x+52

Tags

CCSS.HSA.APR.B.3

Find all the roots of y=x³-2x²+4x-8

• -2, 2i, -2i

• 2, 2i, -2i

• 2,-2, 2i

• 1, 2i, 4

Find all the roots of y=x³+x²-x+2

• -2, (1±i√3)/2,

• 2, (1±√3)/2,

• 2, (1±i√3)/2,

• -2, (-1±i√3)/2,

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

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Tags

CCSS.HSA.APR.B.3