PSAE Chapter 5 Review: Student Edition Name: _______________________ Take NOTES in the spaces...
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Transcript of PSAE Chapter 5 Review: Student Edition Name: _______________________ Take NOTES in the spaces...
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PSAE Chapter 5 Review:Student Edition
Name: _______________________
Take NOTES in the spaces provided
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Section 5.1: What are polynomials?
• Here’s a polynomial:
• Each one of the little blobs is a “term:”
“Poly” means “many”One term = _________________________________Two terms = ________________________________Three terms = _______________________________Four terms = ________________________________
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Section 5.1: How to find Degree
1. Look at the terms….2. Whichever term has the MOST letters wins! (after you
simplify)
What is the degree of the following:
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5.1: SIMPLIFYING a Polynomial
• Do not confuse with “__________________!”• Simply GROUP like terms:• Ex:
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5.1: Descending versus Ascending
Descending OrderDescending Order• Powers of the variables…
_____________________________________________________________________
• AKA: “________________”• Ex:
• ____________
• Powers of the variables… _____________________________________________________________________
• AKA: “________________”• Ex:
• ____________
Ascending OrderAscending Order• Powers of the variables…
_____________________________________________________________________
• Ex:
• ____________
• Powers of the variables… _____________________________________________________________________
• Ex:
• ____________
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5.1: Classifying PolynomialsClassifying Polynomials by Number of Terms
# of Terms Classification Examples
m, n5, xy, -5ab2, r2st3, 9
3x + 4y, jk – 3, a2 + 7a
r + s – t, a2 + 2a - 6
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5.1: Classifying Polynomials
• Which phrase best describes –z3 + 3z2 – 2z – 3z2?– First, simplify….– How many terms are left?– What is the greatest degree of the terms?– The correct choice is ________________________________
Classifying Polynomials by Degree
Degree Classification Examples
X, -6d, 5s – 3, 7 + 8y
x2, 3m2, k – k2, 4 – 2g + 6g
X3, -8b3, 4b3 – b2
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5.1: Adding & Subtracting
Adding PolynomialsAdding Polynomials• GROUP like terms• Ex:• (3x2 + x2 – 3) + (4x3 + 2x2 + 5x)
• GROUP like terms• Ex:• (3x2 + x2 – 3) + (4x3 + 2x2 + 5x)
Subtracting PolynomialsSubtracting Polynomials• Find the “additive inverse”
first (AKA: take the OPPOSITE!)
• Then, GROUP like terms just like adding
• Ex:• (3c2 – 8c + 4) – (7 + c2 – 8c)
• Find the “additive inverse” first (AKA: take the OPPOSITE!)
• Then, GROUP like terms just like adding
• Ex:• (3c2 – 8c + 4) – (7 + c2 – 8c)
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5.1: One last thing….
What do you do when the problem says:Find the difference when x2 + 8 – 2x is subtracted from 2x – 10x2 + 7?
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5.2: Properties of Exponents
Multiplication PropertiesMultiplication Properties Division PropertiesDivision Properties
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5.2 Properties of Exponents
NEVER leave negative exponents in your answers!NEVER leave negative exponents in your answers!
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5.2: Scientific Notation
a x 10n Scientific Notation– a can be _______– a cannot be _________– a must be bigger than _____, smaller than _____!
• n can be ______________ or ______________
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5.2: Scientific Notation
• Is the number written in scientific notation?3.348 x 1018
__________24 x 105
__________6 x 10-3.4
__________9.9325 x 102
__________10 x 52
__________
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5.2: Multiplying & Dividing Scientific Notation
• Simplify: