SOL Warm Up

1) C 2) B 3) (4x + y) (2x – 5y) 4) x = 7 ½ and x = -1/2 Answers

Complex Numbers Any number in form a+bi, where a and b are real numbers and i is imaginary. What is an imaginary number?

Definition of imaginary numbers:

Simplify complex numbers Remember 28

Answer: -i

Try these problems: -15 i

When adding or subtracting complex numbers, combine like terms.

Try these on your own

ANSWERS:

Multiplying complex numbers. To multiply complex numbers, you use the same procedure as multiplying polynomials.

Examples to do together:

Lets do another example. FOIL Next

Answer: Now try these: 21-i

Next

Answers:

Conjugates In order to simplify a fractional complex number, use a conjugate. What is a conjugate?

are said to be conjugates of each other.

Lets do an example: Rationalize using the conjugate Next

Reduce the fraction

Lets do another example Next

Try these problems.

Simplify. To figure out where we are in the cycle divide the exponent by 4 and look at the remainder.

Simplify. Divide the exponent by 4 and look at the remainder.

Simplify. Divide the exponent by 4 and look at the remainder.