What is (12x^3-11x^2+9x+18)/(4x+3) ?

The solution to (12x^3-11x^2+9x+18)/(4x+3) is 3x^2-5x+6

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simplify (12x^3-11x^2+9x+18)/(4x+3)

simplify

\frac{12 x ^{3} - 11 x ^{2} + 9 x + 18}{4 x + 3}

3 x^{2} - 5 x + 6

Solution steps

\frac{12 x ^{3} - 11 x ^{2} + 9 x + 18}{4 x + 3}

Factor

12 x^{3} - 11 x^{2} + 9 x + 18 : (4 x + 3) (3 x^{2} - 5 x + 6)

= \frac{( 4 x + 3 ) ( 3 x ^{2} - 5 x + 6 )}{4 x + 3}

Cancel the common factor:

4 x + 3

= 3 x^{2} - 5 x + 6

2 ln (100) + 3 ln (e^{2})

(v + 2)^{2}

4 x^{3} - 6 x

(- 4 x^{2} + 3 x - 5) - (- 7 x - 9)

What is (12x^3-11x^2+9x+18)/(4x+3) ?
The solution to (12x^3-11x^2+9x+18)/(4x+3) is 3x^2-5x+6