Week 3 DQ 1 - out. Those final values when plugged back...

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Week 3 DQ 1 Please post a response to the following discussion question by clicking on Reply. In your own words, what are rational expressions? Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x 2 – 16). What values in the denominator must we be mindful of? Explain why. Rational expressions are fractional expressions in which the numerator and denominator of the fraction are polynomials. Often times, the bottom or top are quadratics, and may be able to be factored evenly. When this happens, we need to be mindful of the final value of the denominator. Same works with any sort of polynomial in the denominator that can be solved for the polynomial = 0 and the answers come
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Unformatted text preview: out. Those final values when plugged back into the expression will make the denominator 0, thus making the rational expression undefined. So we have to watch out for any values when plugged into the rational expression will make the denominator zero. In this expression:-3xx2 16 This is a rational expression since it has a polynomial on the top and the bottom There might be values that the bottom polynomial can take which make the expression undefined. To figure them out, let’s set the denominator to zero. -= x2 16 0 Method 1:-= x2 16 0 = x2 16 = ± x 4 Method 2:-= x2 16 0 +- = x 4x 4 0 =- , x 4 4 =± x 4 So the expression can’t take the values of 4 or -4 or it will make the expression undefined....
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This note was uploaded on 04/20/2011 for the course MATH 116 taught by Professor Mcmillian during the Spring '09 term at University of Phoenix.

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Week 3 DQ 1 - out. Those final values when plugged back...

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