Q. 4 B5.0( 2 Votes )

Obtain a quadrati

Answer :

Let α and β be the zeros of the polynomial p(x) = ax2 + bx + c.


Given, α + β = –3 ; αβ = –4


We know that α + β = – = – . So, – = = k, say


Thus, b = –3k, a = k


And αβ = = – . So, c = –4a = –4(k) = –4k


p(x) = ax2 + bx + c


p(x) = (k)x2 + (–3k)x – 4k


p(x) = k (x2 – 3x– 4)


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Find the zeros ofGujarat Board Mathematics

3 is a zero of p(Gujarat Board Mathematics

Obtain a quadratiGujarat Board Mathematics

Obtain a quadratiGujarat Board Mathematics

Obtain a quadratiGujarat Board Mathematics

Find the zeros ofGujarat Board Mathematics

The cubic polynomGujarat Board Mathematics

The graph of p(x)Gujarat Board Mathematics

Find the zeros ofGujarat Board Mathematics

Find the zeros ofGujarat Board Mathematics