How do you divide (x^2+x-2)/(2x + 4) using polynomial long division?

1 Answer
Tony B
Apr 5, 2017

(x-1)/2

Explanation:

" "x^2+x-2
color(magenta)(1/2x)(2x+4)->" "ul(x^2+2x) larr" subtract"
" "0 -x-2
color(magenta)(-1/2)(2x+4)->" "ul( -x-2) larr" subtract"
" "0+0 larr" remainder"

As the remainder is zero the division is exact.

(x^2+x-2)/(2x+4)=color(magenta)( x/2-1/2)->(x-1)/2

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color(brown)("The above is actually the same process as the traditional method.")color(brown)("The only difference is the format chosen.")

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