यदि 5x3 + 5x2 – 6x + 9 को (x + 3) से विभाजित किया जाए, तब शेषफल कितना होगा?

This question was previously asked in
CDS Maths Previous Paper 4 (Held On: 19 Nov 2017)
View all CDS Papers >
  1. 135
  2. -135
  3. -63
  4. 63

Answer (Detailed Solution Below)

Option 3 : -63
Free
UPSC CDS 01/2025 General Knowledge Full Mock Test
120 Qs. 100 Marks 120 Mins

Detailed Solution

Download Solution PDF

प्रयुक्त अवधारणा:

शेषफल प्रमेय:

यदि एक बहुपद p(x) को (x−a) से विभाजित किया जाता है, तब शेषफल एक नियतांक p(a) होता है।

गणना:

मान लीजिए p(x) = 5x3 + 5x2 – 6x + 9 

चूँकि, (x + 3) p(x) को विभाजित करता है, तब शेषफल p(-3) होगा।

⇒ p(-3) = 5 × (-3)3 + 5 × (-3)2 – 6 × (-3) + 9

⇒ p(-3) = -63

Latest CDS Updates

Last updated on May 29, 2025

-> The UPSC CDS 2 Notification has been released at upsconline.gov.in. for 453 vacancies.

-> Candidates can apply online from 28th May to 17th June 2025.

-> The CDS 2 Exam will be held on 14th September 2025.

-> Attempt UPSC CDS Free Mock Test to boost your score.

-> The selection process includes Written Examination, SSB Interview, Document Verification, and Medical Examination.  

-> Refer to the CDS Previous Year Papers to enhance your preparation. 

More Polynomials Questions

More Algebra Questions

Hot Links: teen patti wealth teen patti vungo teen patti master real cash