wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If the given polynomial f(x)=x4+ax3−5x2+7x−6, is divided by x−3 and leaves remainder as −3 then the value of a is

A
-2.0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
-02
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
-2.00
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
-2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

Given: f(x)=x4+ax35x2+7x6.

Remainder Theorem states that if a polynomial p(x) is divided by xa, then the remainder obtained is p(a)

On dividing f(x) by x3, the remainder obtained will be:
f(3)=(3)4+a(3)35(3)2+7(3)6=3
f(3)=81+27a45+216=3
27a=54
a=2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Remainder Theorem
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon