Question

x^3+x^2-x+2 ÷x+2 please help me out​

Answer 1

Answer:

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Answer 2

Answer :

• For dividing x³ + x² - x + 2 by x + 2 let us first factorise x³ + x² - x + 2 it
• And then we will find the answer.

= x³ + x² - x + 2 by x + 2

= x³ + x² - x + 2 ÷ x + 2

• Factorising x³ + x² - x + 2

= x³ + x² - x + 2

= x³ + 2x² - x² - 2x + x + 2

= x² ( x + 2) - x (x + 2) +1 ( x + 2)

= (x + 2) ( x² - x + 1)

• Now after factorising it, divide it by x + 2

= (x + 2) ( x² - x + 1) ÷ (x + 2)

= $\dfrac{\cancel{(x + 2)}}{({x}^{2} - x + 1)}$ ÷ $\cancel{(x + 2)}$

= x² - x + 1

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