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

Is (x1), a factor of 8x4+12x318x+14 ?

A
No
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Cannot be determined from given data.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Yes
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A No
Factor theorem states if p(x) is a polynomial of degree n1 and a is any real number then xa is a factor of p(x), if and only if p(a)=0

Given equation is p(x)=8x4+12x318x+14
By using factor theorem, (x1) is a factor of p(x) only if p(1)=0

Here, p(1)=8(1)4+12(1)318(1)+14
=8+1218+14
=3418=160
Hence, (x1) is not a factor of p(x)


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