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Unformatted text preview: Supplementary Course Module C: Rational Expressions Assignment 1 & Simplifying Rational Expressions Factoring: & A rational expression may be able to be simpli&ed if the numerator and denominator can be expressed as a product of factors. Any factor that is common to both the numerator and denominator can be cancelled (similar to how we reduced fractions: 15 20 = 3 & 5 4 & 5 = 3 4 ). & When we cancel, we are, in effect, dividing both the numerator and the denominator by the same factor ( i.e., we can also think of 15 20 = 15 5 20 5 = 3 4 ). & If the factor is an algebraic expression, we have to be careful that we are not dividing by a value equal to zero recall that division by zero is not allowed! & a b = ac bc , c 6 = 0 and ad bd = a b , d 6 = 0 & any possible values which would result in division by zero are stated as restrictions, exempli&ed by the following. examples: x 2 + x 12 x 2 4 x + 3 = ( x + 4) ( x 3) ( x 1) ( x 3) = x + 4 x 1 , provided x 6 = 3...
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