(2x^2+7x+11) / (x+2)

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(2x^2+7x+11) / (x+2)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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synthetic division or long division ? which one is easy 4 u?
synthetic
long polynomial is my favorite one, because it is so like elementary and you can actually see how it is being divided.

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\(\Huge_\text{__________}\) \(x+2{\LARGE |}~2x^2~+~7x~+~11\)
alright so synthetic division x+2 is a divisor set it equal to 0 x+2 = 0 solve for x and write the coefficients bring the leading coefficient straight down |dw:1437593875598:dw| multiply by -2
x+2 =0 subtract 2 both sides x=-2
\(2x\) \(\Huge_\text{__________}\) \(x+2{\LARGE |}~2x^2~+~7x~+~11\) \(2x^2~+~4x\) \(\Huge^\text{_____}\) \(3x~+~11\)
so you are dividing pretty much just like in algebra
\(2x~+~3\) \(\Huge_\text{__________}\) \(x+2{\LARGE |}~2x^2~+~7x~+~11\) \(2x^2~+~4x\) \(\Huge^\text{_____}\) \(3x~+~11\) \(3x~+~6\) \(\Huge^\text{_____}\) \(\color{red}5\)
|dw:1437594259817:dw| 1st) mulitply 2nd) put the result above the line 3rd) combine like terms

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