Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 150928: X2-5x-14 4
_________ divided by ______
8 x-7
: X2-5x-14 4
_________ divided by ______
8 x-7

Answer by jim_thompson5910(8007) About Me  (Show Source):
You can put this solution on YOUR website!

((x^2-5x-14)/(8))/((4)/(x-7)) Start with the given expression.


((x^2-5x-14)/(8))((x-7)/(4)) Multiply the first fraction (x^2-5x-14)/(8) by the reciprocal of the second fraction (4)/(x-7).


(((x+2)*(x-7))/(8))((x-7)/(4)) Factor x^2-5x-14 to get (x+2)*(x-7).


((x+2)(x-7)(x-7))/((8)(4)) Combine the fractions.


((x+2)(x-7)^2)/(32) Multiply and simplify


So ((x^2-5x-14)/(8))/((4)/(x-7)) simplifies to ((x+2)(x-7)^2)/(32).


In other words, ((x^2-5x-14)/(8))/((4)/(x-7))=((x+2)(x-7)^2)/(32) where x<>7