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

If α & β are the zeroes of a quadratic polynomial p(x), and k is any constant, then what is the general form of the polynomial?

A
kx2+(α+β)x+αβ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
kx2(α+β)xαβ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
kx2+(α+β)xαβ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
k(x2(α+β)x+αβ)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D k(x2(α+β)x+αβ)
Given, α & β are the zeroes of the quadratic polynomial p(x).

This polynomial should be equal to zero when x = α or x = β.

Thus, p(x) = k(xα)(xβ)

=kx2(α+β)x+αβ

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relationship Between Zeroes and Coefficients of a Quadratic Polynomial
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon