Solving Polynomials with Imaginary

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 a polynomial function of degree 4 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

Descartes' Rule of Signs is helpful is solving what kind of equation?

• rational

• exponential

• logarithmic

• polynomial

• A
• B
• C
• D

Determine the value of the discriminant and name the nature of the roots for the following:
x² + 7x + 13
Remember:  b² - 4ac

• 400, 2 real root 

• 0, 1 real root with a multiplicity of 2

• -400, 2 imaginary roots

• -3, 2 imaginary roots

What is the degree of the following polynomial that has 4 real roots and 2 complex roots?

• 4

• 2

• 8

• 6

Solve the following polynomial given a root of 2+3i.

Solve the following polynomial given that 3-2i is a root.

Write a polynomial function of least degree with the given zeros.

• A

• B

• C

• D

Given that two roots are 2 and 2+i, find one set of possible values for b,c,d.

• b= -6, c = 13, d= -10

• b= 6, c = 13, d= -10

• b= -2, c = -3, d= 10

• b= -2, c = -4, d= 8