Question

Divide 3x³-8x+5 by x-1
(Note; by division method)​

Answer 1

Answer:

$3x^{2} + 3x - 5$

Step-by-step explanation:

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

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