What is factor 8x^3+20x^2+14x+3 ?

The solution to factor 8x^3+20x^2+14x+3 is (2x+1)^2(2x+3)

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factor 8x^3+20x^2+14x+3

factor

8 x^{3} + 20 x^{2} + 14 x + 3

(2 x + 1)^{2} (2 x + 3)

Solution steps

8 x^{3} + 20 x^{2} + 14 x + 3

Use the rational root theorem

= (2 x + 1) \frac{8 x ^{3} + 20 x ^{2} + 14 x + 3}{2 x + 1}

\frac{8 x ^{3} + 20 x ^{2} + 14 x + 3}{2 x + 1} = 4 x^{2} + 8 x + 3

= (2 x + 1) (4 x^{2} + 8 x + 3)

Factor

4 x^{2} + 8 x + 3 : (2 x + 1) (2 x + 3)

= (2 x + 1) (2 x + 1) (2 x + 3)

Apply exponent rule:

aa = a^{2}

(2 x + 1) (2 x + 1) = (2 x + 1)^{2}

= (2 x + 1)^{2} (2 x + 3)

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What is factor 8x^3+20x^2+14x+3 ?
The solution to factor 8x^3+20x^2+14x+3 is (2x+1)^2(2x+3)