What is factor x^4+2x^3-12x^2-40x-32 ?

The solution to factor x^4+2x^3-12x^2-40x-32 is (x+2)^3(x-4)

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factor x^4+2x^3-12x^2-40x-32

factor

x^{4} + 2 x^{3} - 12 x^{2} - 40 x - 32

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

Solution steps

x^{4} + 2 x^{3} - 12 x^{2} - 40 x - 32

Use the rational root theorem

= (x + 2) \frac{x ^{4} + 2 x ^{3} - 12 x ^{2} - 40 x - 32}{x + 2}

\frac{x ^{4} + 2 x ^{3} - 12 x ^{2} - 40 x - 32}{x + 2} = x^{3} - 12 x - 16

= (x + 2) (x^{3} - 12 x - 16)

Factor

x^{3} - 12 x - 16 : (x + 2) (x + 2) (x - 4)

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

Apply exponent rule:

aaa = a^{3}

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

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

3 (x + 2) + 4 = 5 (x - 1) + x

5 (x + 4) = 35

\frac{5 x + 1}{1 + 4 x} \geq 0

(a b^{- 3})^{- 1}

- 4 x^{2} - 15 x + 4 = 0

What is factor x^4+2x^3-12x^2-40x-32 ?
The solution to factor x^4+2x^3-12x^2-40x-32 is (x+2)^3(x-4)