Number of Imaginary Zeros

A Polynomial of Degree 6 CAN have the following number of imaginary roots:

• 1

• 4

• 3

• 8

If 2i is a zero, then

• 2i repeats twice

• -2i is a zero too

• 1-2i is a zero too

• 0+2i is a zero too

Which of the following roots match the above polynomial:

• -3,-1,4

• -3,2i,-2i

All imaginary roots comes in pairs.

• True

• False

What letter usually represent imaginary number?

• a

• i

• j

• x

• e

Answer explanation

Use the Fundamental Theorem of Algebra to determine the total number of solutions.

• A

• B

• C

• D

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)

Given one complex zero use the conjugate root theorem to find another.  Zero is 7-5i

• -7+5i

• 7-5i

• -7-5i

• 7+5i

Are the roots of the function f(x)=3x²+3x+3 real or imaginary? (hint: graph it)

• Real Roots

• Imaginary Roots

• Impossible to tell

• Both

Use the Complex Conjugate Root Theorem to state another complex solution. Given that -7i is a root. 

• 7i

• -7i+1

• 1-7i

• 1+7i