From the given polynomial $6 x^{2} + 12 x - 24$ , find the sum and product of the zeroes.

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Solution

In the given polynomial, $6 x^{2} + 12 x - 24$
$a = 6, b = 12, c = - 24$
Relationship between zeroes and coefficient of the polynomial:
Sum of the zeroes $=$ $\frac{C o e f f i c i e n t o f x}{C o e f f i c i e n t o f x^{2}} = \frac{- b}{a}$
$=$ $\frac{- 12}{6} = - 2$
Product of the zeroes $=$ $\frac{C o n s t a n t t e r m}{C o e f f i c i e n t o f x^{2}} = \frac{c}{a}$
$=$ $\frac{- 24}{6} = - 4$

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