How do you divide (2x^2 -7x+ 19) div(2x- 3)?

1 Answer
Douglas K.
Oct 27, 2016

"How do you" type questions are answered by explanation.

Explanation:

I use long division:

I am going to use the square root symbol, because I do not find a long division symbol in formatter but please read it as division:

color(white)_color(white)_color(white)_color(white)_x - 2
2x - 3sqrt(2x^2 - 7x + 19)
color(white)_color(white)--2x^2 + 3x
color(white)_color(white)_color(white).color(white)_0 - 4x + 19
color(white)_color(white)_color(white)_color(white)_color(white)_4x - 6
color(white)_color(white)_color(white)_color(white)_color(white)_0 + 13

The quotient is x - 2 with remainder 13

Written as a mixed number:

x - 2 + 13/(2x - 3)

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