UNIT 4 REVIEW Simplifying Radicals Make a factor

UNIT 4 REVIEW

Simplifying Radicals Make a factor tree Put pairs on the outside and multiply Non-pairs go back inside and multiply If the radical (√ ) has a (-) add i in the answer Don’t forget the ±

Convert between radical expressions and rational exponents n√am = am/n

Evaluate = Find the cube root first, then power of 5 3√ 85

Pause Think about what we have covered so far… What are the tips/rules you need to know? What part do you struggle with most? How are you going to clear that up before the test?

Simplifying polynomial expressions What are “like” terms? 3 -2 x+4 x 2+5 x-2 x 2+5 3+5 -2 x+5 x +4 x 2 -2 x 2 +3 x +8

Subtracting polynomial expressions DISTRIBUTE THE NEGATIVE (2 x 2 -3 x+5) – (x 2+3 x+4) 2 x 2 -3 x+5 - x 2 -3 x-4 x 2 -6 x+1

Multiplying Polynomials ADD EXPONENTS WHEN YOU MULTIPLY x 2(4 x+3) (x 2)(4 x) + (x 2)(3) 4 x 3 + 3 x 2 (2 x+3)(x-4)

Pause What are you unsure about? What do you need to figure it out? How will you figure it out before test day?

Simplifying i expressions i=I (r=. 25) i 2=-1 (r=. 5) i 3=-I (r=. 75) i 4=1 (r=. 00) Divide by 4 Look at remainder

Add/Subtract complex numbers What are “like” terms? 3 +2 i-5+i+3 -2 i 3+3 -5 +2 i+i-2 i 1+I DON’T FORGET TO DISTIBUTE NEGATIVE WHEN SUBTRACTING

Multiplying complex numbers Can use FOIL or BOX (3+i)(2+3 i) Remember i 2=-1

Dividing Complex numbers What is the complex conjugate? How do we find the complex conjugate? (3+2 i) / (1 -i)

Any last questions? Good luck!