Question
Download Solution PDFx3 - 3x2 + 4x - 75 या बहुपदीमध्ये काय मिळवले पाहिजे, जेणेकरून मिळणारी बहुपदी (x - 5) ने पूर्णपणे विभाज्य असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
x3 - 3x2 + 4x - 75 या बहुपदीमध्ये काय मिळवले पाहिजे, जेणेकरून मिळणारी बहुपदी (x - 5) ने पूर्णपणे विभाज्य असेल?
वापरलेले सूत्र:
जर f(x) ही बहुपदी (x - a) ने पूर्णपणे विभाज्य असेल, तर f(a) = 0 असते.
गणना:
समजा, f(x) = x3 - 3x2 + 4x - 75 + k
f(x) ही (x - 5) ने विभाज्य असल्याने, f(5) = 0.
f(5) = 53 - 3(5)2 + 4(5) - 75 + k
⇒ 125 - 75 + 20 - 75 + k = 0
⇒ -5 + k = 0
⇒ k = 5
∴ पर्याय (4) योग्य आहे.
Last updated on Jun 17, 2025
-> The SSC has now postponed the SSC CPO Recruitment 2025 on 16th June 2025. As per the notice, the detailed notification will be released in due course.
-> The Application Dates will be rescheduled in the notification.
-> The selection process for SSC CPO includes a Tier 1, Physical Standard Test (PST)/ Physical Endurance Test (PET), Tier 2, and Medical Test.
-> The salary of the candidates who will get successful selection for the CPO post will be from ₹35,400 to ₹112,400.
-> Prepare well for the exam by solving SSC CPO Previous Year Papers. Also, attempt the SSC CPO Mock Tests.
-> Attempt SSC CPO Free English Mock Tests Here!