Question

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???????






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Answer 1

AnswEr :

The value of a is -3/2

and the sum of the zeroes is -4

GivEn :

The quadratic polynomial is

• ax² - 6x - 6
• The product of the zeroes is 4

Concept to be used :

Relationship between the zeroes and the coefficients of the polynomial :

$\tt \bullet Sum \: of \: the \: zeroes = -\dfrac{Coefficient\: of \: x}{Coefficient \: of \: x^{2}} \\\\ \tt \bullet Product \: of \: the \: zeroes =\dfrac{Constant \: term}{Coefficient \: of \: x^{2}}$

SoluTion :

Given ,

$\tt \implies Product \: of \: the \: zeroes = 4 \\\\ \tt \implies \dfrac{Constant \: term}{Coefficient \: of \: x^{2}} = 4 \\\\ \tt \implies \dfrac{-6}{a} = 4 \\\\ \tt \implies a = -\dfrac{3}{2}$

Now from the sum relations ,

$\tt \implies Sum \: of \: the \: zeroes = -\dfrac{-6}{a} \\\\ \tt \implies Sum \: of \: the \: zeroes = -\dfrac{-6}{-\dfrac{3}{2}} \\\\ \tt \implies Sum \: of \: the \: zeroes = -4$

Answer 2

Answer:

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

The sum of its zeroes is -4.

Step-by-step explanation:

Refer the given attachment.

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