What is (3x^3+16x^2+22x+4)/(x+2) ?

The solution to (3x^3+16x^2+22x+4)/(x+2) is 3x^2+10x+2

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simplify (3x^3+16x^2+22x+4)/(x+2)

simplify

\frac{3 x ^{3} + 16 x ^{2} + 22 x + 4}{x + 2}

3 x^{2} + 10 x + 2

Solution steps

\frac{3 x ^{3} + 16 x ^{2} + 22 x + 4}{x + 2}

Factor

3 x^{3} + 16 x^{2} + 22 x + 4 : (x + 2) (3 x^{2} + 10 x + 2)

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

Cancel the common factor:

x + 2

= 3 x^{2} + 10 x + 2

(5 m - 3) (m + 2)

\frac{x}{x ^{\frac{1}{4}}}

- 3 x^{3} - x

8 x + 36

8 x + 32

What is (3x^3+16x^2+22x+4)/(x+2) ?
The solution to (3x^3+16x^2+22x+4)/(x+2) is 3x^2+10x+2