Question

x⁴+5x³+5x²-5x-6
como resolverlo?

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Answer 1

Answer:

Consider x^4+5x^3+5x^2−5x−6

Let us rewrite as

x^4−x^3+6x^3−6x^2+11x^2−11x+6x−6

x^3(x−1)+6x^2(x−1)+11x(x−1)+6(x−1)

(x−1)(x^3+6x^2+11x+6)

(x+1)(x^3+2x^2+4x^2+8x+3x+6)

(x−1)(x^2(x+2)+4x(x+2)+3(x+2))

(x−1)(x+2)(x^2+4x+3)

(x−1)(x+2)(x+1)(x+3)

(X^2−1)(x+2)(x+3)

Step-by-step explanation:

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