Question

If the product of zeroes of the polynomial ax2-6x-6 is 4 find the sum of its zeros

Answer 1

:

The value of a for the polynomial \bold{a x^{2}-6 x-6}ax

2

−6x−6 is -3/2

Step-by-step explanation:

Given polynomial: a x^{2}-6 x-6ax

2

−6x−6

Product of zeroes of this polynomial = 4.

A polynomial is an expression of more than one or two algebraic term, may be a sum of those terms also.

We know, that the product of zeroes of a polynomial a x^{2}+b x+cax

2

+bx+c can be given by =c/a

Hence, for the polynomial: a x^{2}-6 x-6ax

2

−6x−6 , a = a, b = -6 and c = -6.

Product of zeroes of this polynomial = (-6)/a

4 = -6/a

a = -6/4= -3/2