Solving Polynomials Given a Root

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

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

• 4

• 2

• 8

• 6

Factor:
 x³-12x²+47x-60=0 when 5 is a root.

• (x-3)(x-4)(x-5)=0

• (x+1)(x-4)(x-5)=0

• (x-3)(x-4)(2x-5)=0

• (x-5)(x-4)(x-5)=0

• A

• B

• C

• D

• E

Given the following polynomial f\left(x\right)=\ 4x^5-28x^4+49x^3 x = 0 has a multiplicity of __?__

Identify the solutions.

• x = -2, x = -1, x = 0

• x = -2, x = 0

• x = -1, x = 0, x = 2

• x = -2, x = 0, x = 1

If x = -10 is a root to the polynomial function f(x), then which statement below is also true?

• (x + 10) is a factor

• (x - 10) is a factor

• x = -10 is also a root

If you know 3 and 2i are roots of a polynomial function, state the polynomial factors.

• (x + 3) , (x + 2i)

• (x - 3), (x -2i), (x + 2i)

• (x - 3), (x + 3), (x - 2i), (x + 2i)

• (x -3 - 2i), (x + 3 - 2i)