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

If ax4+bx3+cx2+dx+e=∣∣ ∣∣x3+3xx−1x+3x+1−2xx−4x−3x+43x∣∣ ∣∣, then e =

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
-1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 0
We have,
ax4+bx3+cx2+dx+e=∣ ∣x3+3xx1x+3x+12xx4x3x+43x∣ ∣
Substitute x=0 both sides,

a(0)+b(0)+c(0)+d(0)+e=∣ ∣013104340∣ ∣

e=0+1(012)+3(40)=12+12=0, expand the determinant along first row.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Algebraic Operations
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon