What is (3x^3+10x^2+7x)/(x+1) ?

The solution to (3x^3+10x^2+7x)/(x+1) is x(3x+7)

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simplify (3x^3+10x^2+7x)/(x+1)

simplify

\frac{3 x ^{3} + 10 x ^{2} + 7 x}{x + 1}

x (3 x + 7)

Solution steps

\frac{3 x ^{3} + 10 x ^{2} + 7 x}{x + 1}

Factor

3 x^{3} + 10 x^{2} + 7 x : x (3 x^{2} + 10 x + 7)

= \frac{x ( 3 x ^{2} + 10 x + 7 )}{x + 1}

Factor

3 x^{2} + 10 x + 7 : (x + 1) (3 x + 7)

= \frac{x ( x + 1 ) ( 3 x + 7 )}{x + 1}

Cancel the common factor:

x + 1

= x (3 x + 7)

12 r - 8 - 12

(x - 5) (x - 1)

(2 x - 1) (x - 2)

\frac{\frac{4}{( x ^{2} - x - 30 )}}{\frac{2}{( x ^{2} + x - 42 )}}

(x + 2) (x + 3) (x + 4)

What is (3x^3+10x^2+7x)/(x+1) ?
The solution to (3x^3+10x^2+7x)/(x+1) is x(3x+7)