What is (x^3+x^2-10x-6)/(x-3) ?

The solution to (x^3+x^2-10x-6)/(x-3) is x^2+4x+2

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simplify (x^3+x^2-10x-6)/(x-3)

simplify

\frac{x ^{3} + x ^{2} - 10 x - 6}{x - 3}

x^{2} + 4 x + 2

Solution steps

\frac{x ^{3} + x ^{2} - 10 x - 6}{x - 3}

Factor

x^{3} + x^{2} - 10 x - 6 : (x - 3) (x^{2} + 4 x + 2)

= \frac{( x - 3 ) ( x ^{2} + 4 x + 2 )}{x - 3}

Cancel the common factor:

x - 3

= x^{2} + 4 x + 2

18 x^{7} y^{4}

(4 y^{3})^{3}

(x^{2} + 2 x - 2) (2 x^{2} + x + 1)

3 (x - 3)^{2} + 5 (x - 3) + 13

What is (x^3+x^2-10x-6)/(x-3) ?
The solution to (x^3+x^2-10x-6)/(x-3) is x^2+4x+2