Question

27. If the product of zeroes of the polynomial ax² - 6x - 6 is 4, find the value of a. Find the sum of zeroes of the polynomial.​

Answer 1

Answer:

If a polynomial is given as , 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. The value of a is -1.5. Therefore the sum of its zeroes is -4

Step by Step Explination

Given polynomial:- ax

2

−6x−6

a=a,b=−6,c=−6

Product of zeroes =4(Given)

As we know that, for a quadratic polynomial-

Product of zeroes =

a

c

∴

a

c

=4

⇒

a

−6

=4

⇒a=

4

−6

=

2

−3