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

ICSE - X - Mathematics - Remainder and Factor Theorems

Find the remainder when, x cubed-3ax squared-a squaredx+3a cubed is divided by (x-a)

Asked by savi1405 30th April 2016, 2:16 PM
Answered by Expert

Answer:

R e m a i n d e r space t h e o r e m space s t a t e s space t h a t space t h e space r e m a i n d e r space o f space t h e space d i v i s i o n space o f space a space p o l y n o m i a l space f open parentheses x close parentheses space b y space a space l i n e a r space p o l y n o m i a l space x minus a space i s space e q u a l space t o space f open parentheses a close parentheses.
G i v e n space t h a t comma
f open parentheses x close parentheses equals x cubed minus 3 a x squared minus a squared x plus 3 a cubed
L i n e a r space p o l y n o m i a l equals x minus a
T h u s comma space t h e space r e m a i n d e r space o f space t h e space d i v i s i o n space o f space x cubed minus 3 a x squared minus a squared x plus 3 a cubed space b y space x minus a equals f open parentheses a close parentheses
rightwards double arrow f open parentheses a close parentheses equals a cubed minus 3 a open parentheses a close parentheses squared minus a squared cross times a plus 3 a cubed
rightwards double arrow f open parentheses a close parentheses equals a cubed minus 3 a cubed minus a cubed plus 3 a cubed
rightwards double arrow f open parentheses a close parentheses equals a cubed minus a cubed
rightwards double arrow f open parentheses a close parentheses equals 0
T h u s space t h e space r e m a i n d e r space w h e n space x cubed minus 3 a x squared minus a squared plus 3 a cubed space i s space d i v i d e d space b y space x minus a space i s space 0.
Answered by Expert 1st May 2016, 12:52 PM

Rate this answer

  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Report an issue
Your answer has been posted successfully!

Latest Questions

ICSE X Mathematics

Asked by suhaibbro1828 21st February 2018, 4:00 PM

CBSE X Mathematics Statistics

Asked by sucharitasahoo1 21st February 2018, 12:22 PM