Question

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

Answer 1

alpha ×beta=c/a
4=-6/a
4a=-6
a=-6/4
a=-3/2

Answer 2

Hey dear !!!

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==> In the question,

p(x) = ax² - 6x - 6

We have given that,

The product of zeroes of the given polynomial is 4 .

We have to find the value of a.

We also have,
a = a
b = -6
c = -6

let α and β be the zeros of the given polynomial.

Hence,

αβ = 4 ...................(given)

We know that,

α + β = -b/a

= -(-6/a)

= 6/a

we also know that,

αβ = c/a

= -6/a

but, we already have αβ = 4 hence,

4 = -6/a

-6/a = 4

-6 = 4a

-6/4 = a

a = -3/2

Therefore, the value of a is -3/2

Thanks !!

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