Question

Find a cubic polynomial with the sum, sum of the product of its zeros taken two at a time, and the product of its zeros as 2, –7, –14 respectively.

Answer 1

Dear Student:

Let p,q,r are the roots of the cubic polynomial.

Given:p+q+r = 2

pq+qr+rp=-7

pqr=-14

The cubic polynomial with cubic roots p,q,r is

$x^{3}-(p+q+r)x^{2} +(pq+qr+rp)x-pqr$

$x^{3}-(2)x^{2} +(-7)x-(-14)$

$x^{3}-2x^{2} -7x+14$

Hope it helps

Thanks

With regards

Answer 2

Answer:hope it may help you and please please please please mark it as brainlist answer