Question

If the product of zeros of the polynomial

2 − 6 − 6 is 4, find the value of . Find the sum of

zeros of the polynomial.​

Answer 1

Answer:

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Step-by-step explanation:

The given polynomial is

ax^2-6x-6ax

2

−6x−6

If a polynomial is given as ax^2+bx+cax

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}

a

−6

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

a

−6

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

4

−6

=−1.5

The value of a is -1.5.

The sum of its zeroes is

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

(−1.5)

−(−6)

=−4

Therefore the sum of its zeroes is -4.