What is factor x^4+3x^3-30x^2-124x-120 ?

The solution to factor x^4+3x^3-30x^2-124x-120 is (x+2)^2(x+5)(x-6)

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factor x^4+3x^3-30x^2-124x-120

factor

x^{4} + 3 x^{3} - 30 x^{2} - 124 x - 120

(x + 2)^{2} (x + 5) (x - 6)

Solution steps

x^{4} + 3 x^{3} - 30 x^{2} - 124 x - 120

Use the rational root theorem

= (x + 2) \frac{x ^{4} + 3 x ^{3} - 30 x ^{2} - 124 x - 120}{x + 2}

\frac{x ^{4} + 3 x ^{3} - 30 x ^{2} - 124 x - 120}{x + 2} = x^{3} + x^{2} - 32 x - 60

= (x + 2) (x^{3} + x^{2} - 32 x - 60)

Factor

x^{3} + x^{2} - 32 x - 60 : (x + 2) (x + 5) (x - 6)

= (x + 2) (x + 2) (x + 5) (x - 6)

Apply exponent rule:

aa = a^{2}

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

= (x + 2)^{2} (x + 5) (x - 6)

x^{2} - 12 x + 33 = 0

\frac{3}{4} \cdot 3

3 - 2 x \leq 9

6 z^{2} + 11 z = - 4

2 x^{2} = 14

What is factor x^4+3x^3-30x^2-124x-120 ?
The solution to factor x^4+3x^3-30x^2-124x-120 is (x+2)^2(x+5)(x-6)