Transcript Unit 4 Review

UNIT 4 REVIEW
Simplifying Radicals
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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
√am = am/n
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Evaluate
3√85
=
 Find the cube root first, then power of 5
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Pause
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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
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What are “like” terms?
3-2x+4x2+5x-2x2+5
3-2x+4x2+5x-2x2+5
3+5 -2x+5x +4x2-2x2
2x2 +3x +8
Subtracting polynomial expressions
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DISTRIBUTE THE NEGATIVE
(2x2-3x+5) – (x2+3x+4)
2x2-3x+5 - x2-3x-4
x2-6x+1
Multiplying Polynomials
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ADD EXPONENTS WHEN YOU MULTIPLY
x2(4x+3)
(x2)(4x) + (x2)(3)
4x3 + 3x2
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(2x+3)(x-4)
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Pause
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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
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i=I (r= .25)
i2=-1 (r= .5)
i3=-I (r= .75)
i4=1 (r= .00)
Divide by 4
Look at remainder
Add/Subtract complex numbers
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What are “like” terms?
3 +2i-5+i+3-2i
3+3-5 +2i+i-2i
1+I
DON’T FORGET TO DISTIBUTE NEGATIVE WHEN
SUBTRACTING
Multiplying complex numbers
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Can use FOIL or BOX
(3+i)(2+3i)
Remember i2=-1
Dividing Complex numbers
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What is the complex conjugate?
How do we find the complex conjugate?
(3+2i) / (1-i)
Any last questions?
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Good luck!