Question

${ {x}^{2} }^{2} + {2x}^{3} - {13x}^{2} - 38x - 24 \div {x}^{2} - x - 2$
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Answer 1

Answer:

Step-by-step explanation:

x^4 + 2x^3 - 13x^2 - 38x - 24 =

= (x + 1)(x^3 + x^2 - 14x - 24)

= (x + 1)(x + 2)(x^2 - x - 12)

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

x^2 - x - 2 = (x + 1)(x - 2)

x^4 + 2x^3 - 13x^2 - 38x - 24 ÷

÷ x^2 - x - 2 =

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

= (x + 2)(x + 3)(x - 4) ÷ (x - 2)