Math, asked by ushanand2191997, 1 month ago

divide x³-3x²+x+2 by x-2

Answers

Answered by usernametaken8

3

Answer:

x² - x - 1

Step-by-step explanation:

x³ - 3x² + x + 2

= x³ - 2x² - x² + 2x - x + 2

= x²(x-2) - x(x-2) -1(x-2)

= (x-2)(x² - x - 1)

Therefore,

(x-2)(x² - x - 1)/(x-2) = x² - x - 1

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