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## Intermediate Algebra, week 1

by: Hanna Martinez

13

1

1

# Intermediate Algebra, week 1 MATH-040-01

Marketplace > Copper Mountain College > Mathmatics > MATH-040-01 > Intermediate Algebra week 1
Hanna Martinez

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COURSE
Intermediate Algebra
PROF.
James Tarvin
TYPE
Class Notes
PAGES
1
WORDS
CONCEPTS
Math, polynomials
KARMA
Free

## Popular in Mathmatics

This 1 page Class Notes was uploaded by Hanna Martinez on Sunday August 21, 2016. The Class Notes belongs to MATH-040-01 at Copper Mountain College taught by James Tarvin in Fall 2016. Since its upload, it has received 13 views. For similar materials see Intermediate Algebra in Mathmatics at Copper Mountain College.

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Date Created: 08/21/16
Intermediate Algebra (week 1)                                                                                    August 17,  2016    *Rational Expressions­ ​a fraction in which the numerator and/or the denominator are  polynomials.  ­Negative exponents make it not a polynomial.    Example: ​Polynomial Example: ​x²­5x+6​       or       x ​ ³­27     Polynomial       x­1                   x²­6x+9    *Positive Integer Exponents­ ​where “a” is the number and “n” is the positive integer.    *Adding, Subtracting, Multiplying, and Dividing Fractions:  Ex. ​1​ (9) + ​1​ (5) = ​  ​ ​ ​ =​ 4        5 (9)    9 (5)    45  45   45        LCD: 45    Ex. ​   x   ​(x­6) + ​3x  ​(2x­5) = ​x²­6x+6x²­15x​ =   ​7x²­21x        2x­5 (x­6)   x­6 (2x­5)       (x­6) (2x­5)      (x­6)(2x­5)        LCD: (2x­5)(x­6)    Ex.  ​   16x   ​    ­     ​17x             ​x²­6x+5​         ​x²+2x+1       (x­1)(x­5)     (x+1)(x+1) or (x+1)²       LCD: (x­1)(x­5)(x+1)²    *Multiply and/or Divide Rational Expressions:    Ex. 7​ ​ ÷ ​16​ = ​7​ × ​5 ​ = ​35        8     5     8    16  128    Ex. 64​128​ x²​⁴​ y⁷​⁹​ × ​100 ​x y​ = ​64x²y⁷​ ×  ​100​ = ​6400​x²y⁷​ = ​6400          ​  ​ ​x² y²​       7 x⁴​⁵​ y⁸​⁹​           3        7x⁴y⁸    ​​ ​     21x²y    *Multiplying and/or Dividing Monomials:    Ex. ​4x ­ 4y ​ × ​ ² + xy​ = ​4(​x ­y)x(x + y) ​ = 4            X         x² ­ y²     ​x(x ­ y)(x + y)

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