What is (12x^3+7x^2+9x+2)/(4x+1) ?

The solution to (12x^3+7x^2+9x+2)/(4x+1) is 3x^2+x+2

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simplify (12x^3+7x^2+9x+2)/(4x+1)

simplify

\frac{12 x ^{3} + 7 x ^{2} + 9 x + 2}{4 x + 1}

3 x^{2} + x + 2

Solution steps

\frac{12 x ^{3} + 7 x ^{2} + 9 x + 2}{4 x + 1}

Factor

12 x^{3} + 7 x^{2} + 9 x + 2 : (4 x + 1) (3 x^{2} + x + 2)

= \frac{( 4 x + 1 ) ( 3 x ^{2} + x + 2 )}{4 x + 1}

Cancel the common factor:

4 x + 1

= 3 x^{2} + x + 2

\frac{12 q ^{3}}{( 3 q ^{2} ) ^{5}}

\frac{4}{7} + \frac{7}{2} + \frac{3}{5}

\frac{256}{64}

lo g_{17} (\frac{1}{17})

x (- 1)

What is (12x^3+7x^2+9x+2)/(4x+1) ?
The solution to (12x^3+7x^2+9x+2)/(4x+1) is 3x^2+x+2