Divide the polynomial n^2 + 10n + 18 by n+5.SolutionWell div.pdf

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Divide the polynomial n^2 + 10n + 18 by n+5. Solution We\'ll divide the polynomial n^2+10n+18 by n+5. We\'ll re-write n^2+10n+18, by completing the square: n^2+10n+_ We\'ll add and subtract 25 and we\'ll get: (n^2+10n+ 25) - 25 + 18 We notice that we can write (n^2+10n+ 25) = (n + 5)^2 We\'ll re-write the numerator n^2+10n+18: n^2+10n+18 = (n + 5)^2 - 25 + 18 n^2+10n+18 = (n + 5)^2 - 7 We\'ll re-write the division: ( n^2+10n+18)/(n+5) = (n + 5)^2/(n + 5) - 7/(n + 5) We\'ll simplify and we\'ll get: ( n^2+10n+18)/(n+5) = n + 5 - [7/(n + 5)].

Divide the polynomial n^2 + 10n + 18 by n+5.
Solution
We'll divide the polynomial n^2+10n+18 by n+5.
We'll re-write n^2+10n+18, by completing the square:
n^2+10n+_
We'll add and subtract 25 and we'll get:
(n^2+10n+ 25) - 25 + 18
We notice that we can write (n^2+10n+ 25) = (n + 5)^2
We'll re-write the numerator n^2+10n+18:
n^2+10n+18 = (n + 5)^2 - 25 + 18
n^2+10n+18 = (n + 5)^2 - 7
We'll re-write the division:
( n^2+10n+18)/(n+5) = (n + 5)^2/(n + 5) - 7/(n + 5)
We'll simplify and we'll get:
( n^2+10n+18)/(n+5) = n + 5 - [7/(n + 5)]

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