Math, asked by tomarparkhi7, 1 month ago

dividing x^2-3x+2 by x-1, quotient will be​

Answers

Answered by midhunmadhu1987
1

Step-by-step explanation:

see the attached document

Attachments:
Answered by Aryan0123
9

Answer:

Quotient = (x - 2)

Step-by-step explanation:

Given:

  • Dividend = x² - 3x + 2
  • Divisor = (x - 1)

To find:

Quotient = ?

Solution:

On dividing;

                       

               x - 1 ) x² - 3x + 2 ( x - 2   → Quotient

                   {-}  x² - x  

                              - 2x + 2

                       {-}   - 2x + 2  

                                    0

Therefore,

  • Quotient = (x - 2)
  • Remainder = 0

Verification:

Dividend = Divisor × Quotient + Remainder

⇒ x² - 3x + 2 = (x - 1) (x - 2)

⇒ x² - 3x + 2 = x² - 2x - x + 2

⇒ x² - 3x + 2 = x² - 3x + 2

HENCE VERIFIED

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