1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# If the remainder, when polynomial f(x) is divided by xâˆ’1,x+1, are 6,8 respectively, then the remainder, when f(x) is divided by(xâˆ’1)(x+1) is :

A
7x
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
7+x
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
8x
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
D
8+x
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is A 7−x Since the divisor is quadratic, the remainder in general is assumed to be linear. Thus remainder =ax+b. ∴f(x)= Quotient ×(x−1)(x+1)+ Remainder But by remainder theorem, f(1)=6 and f(−1)=8 ∴a+b=6 and −a+b=8∴ Solving simultaneously, we have a=−1 and b=7∴ The remainder is 7−x

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Remainder Theorem
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program