Quadratics (Complex Numbers)

Identify, what are the values of a, b, and c. (x should not be a part of your answer). Separate answers with a comma.

Which of the following correctly substitutes the values of a, b and c into the quadratic formula for this equation:  $x^2\ -\ 3x\ +\ 10$  

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 Simplify: $\sqrt{-16}$ 

•  $-4$  

•  $2i\sqrt{4}$  

•  $4i$  

•  $\sqrt{-4}$  

Simplify the following:

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What is the sum in simplest a + bi form for the following:  $\left(7\ +\ 4i\right)\ +\ \left(-3+10i\right)$  

• 4 + 14i

• -10 +14i

• 4 - 14i

• -21 +40i

What is the difference in simplest a + bi form for the following:  $\left(-4\ +\ 5i\right)\ -\ \left(16\ -\ 4i\right)$  

• -20 - i

• -64 - 20i

• -64 + 20i

• -20 + 9i

What is the product in simplest a + bi form for the following: $\left(5-6i\right)\left(5+6i\right)$  

• 25 -36i

• 61

• 25 + 36i

• 11

What is the product in simplest a + bi form for the following: $\left(3-2i\right)\left(5+4i\right)$  

• 7 + 2i

• 23 + 2i

• 23 + 22i

• 7 +22i