Question

if the product of zeroes of the polynomial ax2-6x-6 is 4.
find the value of a

Answer 1

Since the product of zeros =c/a,
c=-6 , a=a and product of zeros is given i.e, 4
=>c/a=4
=>-6/a=4
=>-6=4a
=>-6/4=a
=>a=-3/2....(answer)...

Answer 2

Answer:

The value of a for the polynomial $\bold{a x^{2}-6 x-6}$ is -3/2

Step-by-step explanation:

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

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 $a x^{2}+b x+c$ can be given by =c/a

Hence, for the polynomial: $a x^{2}-6 x-6$, a = a, b = -6 and c = -6.

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

4 = -6/a

a =  -6/4= -3/2