Mathematics: (x^2-4)/(x-1) divide the polynomial

no association Step-by-step explanation:...

(x^2-4)/(x-1) divide the polynomial - id2414814272, MalikaJones

Ответ:

tay27831

16.01.2022

Mathematics

$x+1-\dfrac{3}{x-1}$

Step-by-step explanation:

You can use long division or synthetic division. Whichever method you choose, remember to include a zero for the missing term (0x)

Synthetic division: x - 1 = 0 --> x = 1

$1 |\ \ 1\quad 0\quad -4\\.\ |\underline{\ \downarrow \quad 1\qquad 1}\\.\quad 1\quad 1\quad \boxed{-3}\quad \leftarrow \text{Remainder}\\\\\\=x + 1 + \dfrac{-3}{x-1}$

Long Division:

$.\qquad \underline{\ \ x+1\qquad \ }\\x-1)x^2+0x-4\\.\qquad \underline{-x^2+1x}\ \ \downarrow\\.\qquad \qquad \quad 1x-4\\.\qquad \qquad \quad \underline{-x+1}\\.\qquad \qquad \qquad \ \ \boxed{-3}\quad \leftarrow \text{Remainder}\\\\\\=x + 1 + \dfrac{-3}{x-1}$

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