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

Find all the common zeroes of the polynomials x3+5x2−9x−45 and x3+8x2+15x.


A

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

-3

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

-5

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D

-5


Let p(x)=x3+5x29x45
q(x)=x3+8x2+15x

p(x)=x3+5x29x45

p(x)=x2(x+5)9(x+5)

p(x)=(x+5)(x29)

p(x)=(x+5)(x+3)(x3)

Zeroes are -5,-3 and 3.

q(x)=x3+8x2+15x

q(x)=x(x2+8x+15)

q(x)=x(x+5)(x+3)

Zeroes are 0, -5 and -3

Therefore, common zeroes are -5 and -3.


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Zeroes of a Polynomial
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon