Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

Divide 3x2 - x3 - 3x + 5 by x - 1 - x2 and verify the division algorithm.

Asked by Topperlearning User 4th June 2014, 1:23 PM
Answered by Expert
Answer:

Let f(x) = -x3 + 3x2 - 3x + 5 and g(x) = -x2 + x - 1

We have:

Quotient, q(x) = x - 2 and remainder, r(x) = 3

Now,

Quotient Divisor + Remainder

= (x - 2)(-x2 + x - 1) + 3

= -x3 + x2 - x + 2x2 - 2x + 2 + 3

= -x3 + 3x2 - 3x + 5 = Dividend

Hence, the division algorithm is verified.

Answered by Expert 4th June 2014, 3:23 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!