What is (12x^3+10x^2+5x+1)/(3x+1) ?

The solution to (12x^3+10x^2+5x+1)/(3x+1) is 4x^2+2x+1

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simplify (12x^3+10x^2+5x+1)/(3x+1)

simplify

\frac{12 x ^{3} + 10 x ^{2} + 5 x + 1}{3 x + 1}

4 x^{2} + 2 x + 1

Solution steps

\frac{12 x ^{3} + 10 x ^{2} + 5 x + 1}{3 x + 1}

Factor

12 x^{3} + 10 x^{2} + 5 x + 1 : (3 x + 1) (4 x^{2} + 2 x + 1)

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

Cancel the common factor:

3 x + 1

= 4 x^{2} + 2 x + 1

720 - 65

2 \frac{1}{2} + 1 \frac{3}{5}

4^{2.8}

s^{3} + 5 s^{2} + 24 s + 20

- 5 \cdot 2 x

What is (12x^3+10x^2+5x+1)/(3x+1) ?
The solution to (12x^3+10x^2+5x+1)/(3x+1) is 4x^2+2x+1