What is factor 3x^3+x^2-38x+24 ?

The solution to factor 3x^3+x^2-38x+24 is (3x-2)(x-3)(x+4)

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factor 3x^3+x^2-38x+24

factor

3 x^{3} + x^{2} - 38 x + 24

(3 x - 2) (x - 3) (x + 4)

Solution steps

3 x^{3} + x^{2} - 38 x + 24

Use the rational root theorem

= (3 x - 2) \frac{3 x ^{3} + x ^{2} - 38 x + 24}{3 x - 2}

\frac{3 x ^{3} + x ^{2} - 38 x + 24}{3 x - 2} = x^{2} + x - 12

= (3 x - 2) (x^{2} + x - 12)

Factor

x^{2} + x - 12 : (x - 3) (x + 4)

= (3 x - 2) (x - 3) (x + 4)

x^{2} + 2 x - 15 \leq 0

x^{3} - 81 x

(- \frac{1}{2} - \frac{3}{2} i)^{4}

- 0.2 x = 1.6

x^{3} + 8 x + x - 42

What is factor 3x^3+x^2-38x+24 ?
The solution to factor 3x^3+x^2-38x+24 is (3x-2)(x-3)(x+4)