Question

If the product of the zeros of the polynomial (ax² - 6x - 6) is 4, find the value of a

Answer 1

Answer:

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 = $\frac{-6}{a}$

4 = $\frac{-6}{a}$

a = $\frac{-6}{4}$ = $-1.5$

The value of a is -1.5.

The sum of its zeroes is

sum of its zeroes = $\frac{-6}{-1.5}$  = $-4$

Therefore the sum of its zeroes is -4.