What is (5x^3+4x^2+10x+8)/(x^2+2) ?

The solution to (5x^3+4x^2+10x+8)/(x^2+2) is 5x+4

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simplify (5x^3+4x^2+10x+8)/(x^2+2)

simplify

\frac{5 x ^{3} + 4 x ^{2} + 10 x + 8}{x ^{2} + 2}

5 x + 4

Solution steps

\frac{5 x ^{3} + 4 x ^{2} + 10 x + 8}{x ^{2} + 2}

Factor

5 x^{3} + 4 x^{2} + 10 x + 8 : (5 x + 4) (x^{2} + 2)

= \frac{( 5 x + 4 ) ( x ^{2} + 2 )}{x ^{2} + 2}

Cancel the common factor:

x^{2} + 2

= 5 x + 4

2 (5 x - 1) - (2 x - 5)

\frac{5}{6} - \frac{5}{12}

\frac{41}{6}

(x + 1)^{8}

What is (5x^3+4x^2+10x+8)/(x^2+2) ?
The solution to (5x^3+4x^2+10x+8)/(x^2+2) is 5x+4