Intermediate Algebra, week 1
Intermediate Algebra, week 1 MATH-040-01
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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. 64128 x²⁴ y⁷⁹ × 100 x y = 64x²y⁷ × 100 = 6400x²y⁷ = 6400 x² y² 7 x⁴⁵ y⁸⁹ 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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