Find the remainder when x3+3x2+3x+1 is divided by x+π.

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

−π2+3π3−3π+1

−π3+3π2−3π+1

None of these

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let us first of all mention what the remainder theorem says:-
Remainder theorem: The Remainder Theorem states that if a polynomial f (x) is divided by (x - k) then the remainder r = f (k), where r is the remainder.
If we compare this to the given situation to us with this remainder theorem:-
We have f(x) = x3+3x2+3x+1 and k = −π.
So, the required remainder should be f(−π).
Since, f(x)= x3+3x2+3x+1
Therefore, f(−π)=(−π)3+3(−π)2+3(−π)+1
We know that the cube of negative is also negative but the square of negative is always positive.
⇒f(−π)=−π3+3π2−3π+1
Hence, the required correct answer is (3).

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE