What is factor x^4+7x^3+5x^2-31x-30 ?

The solution to factor x^4+7x^3+5x^2-31x-30 is (x+1)(x-2)(x+3)(x+5)

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factor x^4+7x^3+5x^2-31x-30

factor

x^{4} + 7 x^{3} + 5 x^{2} - 31 x - 30

(x + 1) (x - 2) (x + 3) (x + 5)

Solution steps

x^{4} + 7 x^{3} + 5 x^{2} - 31 x - 30

Use the rational root theorem

= (x + 1) \frac{x ^{4} + 7 x ^{3} + 5 x ^{2} - 31 x - 30}{x + 1}

\frac{x ^{4} + 7 x ^{3} + 5 x ^{2} - 31 x - 30}{x + 1} = x^{3} + 6 x^{2} - x - 30

= (x + 1) (x^{3} + 6 x^{2} - x - 30)

Factor

x^{3} + 6 x^{2} - x - 30 : (x - 2) (x + 3) (x + 5)

= (x + 1) (x - 2) (x + 3) (x + 5)

- 7 \times 6

(- \frac{1}{2 5 - x})^{2}

28 x^{3} + 28 x^{3}

\frac{\frac{1}{x}}{\frac{1}{x} + 1}

1. 2^{2}

What is factor x^4+7x^3+5x^2-31x-30 ?
The solution to factor x^4+7x^3+5x^2-31x-30 is (x+1)(x-2)(x+3)(x+5)