How do you divide $\frac{5 x^{2} + 12 x - 9}{x^{2} + 3 x - 10}$ $(5x^2+12x-9) / (x^2+3x-10)$ using polynomial long division?

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How do you divide $\frac{5 x^{2} + 12 x - 9}{x^{2} + 3 x - 10}$ $(5x^2+12x-9) / (x^2+3x-10)$ using polynomial long division?

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Answer 1 · 2017-08-23T14:12:52

$5 . - . \frac{3 x - 41}{x^{2} + 3 x - 10}$ $5color(white)(.) -color(white)(.) (3x-41)/(x^2+3x-10)$

Explanation:

Given: $\frac{5 x^{2} + 12 x - 9}{x^{2}_3 x - 10}$ $(color(blue)(5x^2+12x-9))/(color(green)(x^2_3x-10))$

$cmmmmmmmmmmm 5 x^{2} + 12 x - 9$ $color(white)("cmmmmmmmmmmm")color(blue)(5x^2+12x-9)$
$color(red)(5)color(green)((x^2+3x-10)) ->color(white)(.,) ul(5x^2+15x-50) larr "Subtract"$
$color(white)("bbbbbbbbbbbbbbbbbbbb") color(red)(0 -3x+41)larr" Remainder"$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$(5x^2+12x-9)/(x^2_3x-10)color(white)(.) = color(white)(.) 5 -(3x-41)/(x^2+3x-10)$

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How do you divide $\frac{5 x^{2} + 12 x - 9}{x^{2} + 3 x - 10}$ $(5x^2+12x-9) / (x^2+3x-10)$ using polynomial long division?

1 Answer

Explanation:

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How do you divide (5x^2+12x-9) / (x^2+3x-10) 5x2+12x−9x2+3x−10(5x^2+12x-9) / (x^2+3x-10) using polynomial long division?

1 Answer

Explanation:

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How do you divide $\frac{5 x^{2} + 12 x - 9}{x^{2} + 3 x - 10}$ $(5x^2+12x-9) / (x^2+3x-10)$ using polynomial long division?