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9.4 Multiplying & Dividing Rational Expressions

9.4 Multiplying & Dividing Rational Expressions. p.554 How do you simplify fractions made up of rational functions?. Simplified form of a rational expression -. Means the numerator and denominator have NO common factors.

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9.4 Multiplying & Dividing Rational Expressions

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  1. 9.4 Multiplying & Dividing Rational Expressions p.554 How do you simplify fractions made up of rational functions?

  2. Simplified form of a rational expression - • Means the numerator and denominator have NO common factors. • If the numerator and/or denominator are polynomials, factor them ALL THE WAY, then cancel common factors. (x+?) or (x-?) is a package deal—don’t break it up! ** Hint for simplifying: FACTOR EVERYTHING FIRST!! (told you factoring wasn’t going away anytime soon)

  3. Examples: Simplify.

  4. 9x2 + 30x + 25 4x2 -16x +16 3x2 -17x +10 3x3 - 4x2 -12x +16 5x3 + 80 X3 + 3x2 - 9x - 27 Factor Completely. (3x+5)2 (x+2)(x-2)(3x-4) 4(x-2)2 5(x3+16) (3x-2)(x-5) (x-3)(x+3)2

  5. More Examples: Simplify. (Hint: Factor everything first!!)

  6. Another example even yet: Simplify.

  7. Hey, how about ANOTHER Example!

  8. You say you want MORE examples?

  9. THE LAST EXAMPLE!!!

  10. How do you simplify fractions made up of rational functions? Factor

  11. Assignment 9-4 p. 558 17-49 odd Skip 25

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