Question

factoriza : F(x) = x³ + x² - 5x + 3​

Answer 1

Respuesta:

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

Explicación paso a paso:

Answer 2

Respuesta:

F(x)=(x-1)²(x+3)

Explicación paso a paso:

$F(x)=x^3+x^2-5x+3$

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$=\left(x-1\right)\frac{x^3+x^2-5x+3}{x-1}$

$\frac{x^3+x^2-5x+3}{x-1}=x^2+\frac{2x^2-5x+3}{x-1}=x^2+2x+\frac{-3x+3}{x-1}=x^2+2x-3$

$=x^2+2x-3\\=\left(x^2-x\right)+\left(3x-3\right)\\=x\left(x-1\right)+3\left(x-1\right)\\=\left(x-1\right)\left(x+3\right)$

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$=\left(x-1\right)\left(x-1\right)\left(x+3\right)\\=\left(x-1\right)^2\left(x+3\right)$