PSAE Chapter 5 Review: Student Edition Name: _______________________ Take NOTES in the spaces provided

PSAE Chapter 5 Review:Student Edition

Name: _______________________

Take NOTES in the spaces provided

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 = ________________________________

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:

5.1: SIMPLIFYING a Polynomial

• Do not confuse with “__________________!”• Simply GROUP like terms:• Ex:

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:

• ____________

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

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

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)

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?

5.2: Properties of Exponents

Multiplication PropertiesMultiplication Properties Division PropertiesDivision Properties

5.2 Properties of Exponents

NEVER leave negative exponents in your answers!NEVER leave negative exponents in your answers!

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 ______________

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

__________

5.2: Multiplying & Dividing Scientific Notation

• Simplify: