What is factor 4x^3+8x^2+x-3 ?

The solution to factor 4x^3+8x^2+x-3 is (x+1)(2x-1)(2x+3)

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factor 4x^3+8x^2+x-3

factor

4 x^{3} + 8 x^{2} + x - 3

(x + 1) (2 x - 1) (2 x + 3)

Solution steps

4 x^{3} + 8 x^{2} + x - 3

Use the rational root theorem

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

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

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

Factor

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

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

24 \times 6

\frac{10}{1}

- 2 \times (- 5)

ln (e^{x})

+ 60 x^{3} + 50 x^{5}

What is factor 4x^3+8x^2+x-3 ?
The solution to factor 4x^3+8x^2+x-3 is (x+1)(2x-1)(2x+3)