Question

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If the product of the zeros of the polynomial ax^2 — 6x — 6 is 4, find the value of a. Also find the sum of zeros of the polynomial​

Answer 1

The value of a is -1.5 and the sum of its zeroes is -4.

Step-by-step explanation:

The given polynomial is

ax^2 — 6x — 6

If a polynomial is given as ,ax^2 - bx - c then the sum of zeroes is -b/a and the product of zeroes is c/a.

It is given that the product of zeroes the given polynomial is 4.

product of zeroes =  

-6/a

4=-6/a

a=-1.5

The value of a is -1.5.

The sum of its zeroes is

sum of its zeroes =   -(-6)/(-1.5)=-4

Therefore the sum of its zeroes is -4.