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 exponents  n √ a m = a m/n

Evaluate  3 √ 8 5 =  Find the cube root first, then power of 5

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?  3-2x+4x 2 +5x-2x 2 +5  x+5x +4x 2 -2x 2  2x 2 +3x +8

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

Multiplying Polynomials  ADD EXPONENTS WHEN YOU MULTIPLY  x 2 (4x+3)  (x 2 )(4x) + (x 2 )(3)  4x 3 + 3x 2  (2x+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 +2i-5+i+3-2i  i+i-2i  1+I  DON’T FORGET TO DISTIBUTE NEGATIVE WHEN SUBTRACTING

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

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

Any last questions?  Good luck!