Request a call back

Join NOW to get access to exclusive study material for best results

ICSE Class 10 Answered

hoow wto use remainder theorem to factoriseee  
Asked by rajatpullinacd | 15 May, 2019, 04:35: PM
answered-by-expert Expert Answer
We can't use remainder theorem to find the the factors it is used to find the remainder only.
 
 
Example:

Remainder Therorem:
 
If  x3 + 3x2 -  x + 5 is divided by x + 3, find the remainder.

Let p(x) =x3 + 3x2 -  x + 5
 
By using remainder theorem,
 
x + 3 = 0 → x = -3
→ p(-3) =(-3)3 + 3(-3)2 -  (-3) + 5
            = -27 + 27 + 3 + 5
            = 8
→ Remainder = 8

Factor theorem: It is used to find the factors of the given polynomial
 
Let p(x) =2x3 - 13x2 + 26x - 15
 
Put x = 1 in p(x), we get
 
p(1) =2(1)3 - 13(1)2 + 26(1) - 15
       = 2 - 13 + 26 - 15
       = 0
→ (x - 1) is a factor of p(x)
 
Divide p(x) by (x - 1), we get the quotient (2x2 - 11x + 15).
 
→2x3 - 13x2 + 26x - 15 = (x - 1)(2x2 - 11x + 15)
                                   = (x - 1)(x - 3)(2x - 5)
Answered by Yasmeen Khan | 16 May, 2019, 09:34: AM
ICSE 10 - Maths
Asked by madhab_chaudhuri | 06 Dec, 2022, 01:38: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by yogiy7984 | 08 Oct, 2020, 08:53: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by santoshverma080285 | 20 Aug, 2020, 03:17: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by kaivankoshti7111.10sdatl | 06 Jul, 2020, 08:56: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by armantiwari07.10spicertl | 23 May, 2020, 04:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by armantiwari07.10spicertl | 23 May, 2020, 04:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by kushalsahu20march | 16 May, 2019, 11:56: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
ICSE 10 - Maths
Asked by rajatpullinacd | 15 May, 2019, 04:35: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×