Polynomial Given Zero

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

Write the polynomial with the given zeros

• A

• B

• C

• D

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

• x⁴+2x³-16x²-82x-69

• x⁴+7x³-16x²-82x-65

• x⁴+2x³-16x²-82x-65

• x⁴+2x³-16x²-82x-68

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

• A

• B

• C

• D

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

• x³-5x²+4x-20

• x³-5x²+4x-23

• x³-5x²+4x-19

• x³-10x²+4x-20

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

Write the polynomial with the given zeros

• A

• B

• C

• D

How many total roots/zeros are there in the polynomial.   

• A

• B

• C

• D

Use the Rational Root Theorem to determine the list of possible rational roots.

• A

• B

• C

• D

Which of the following is NOT a possible rational zero for p(x). 

• A

• B

• C

• D