The polynomial $x^{2} + 11 x + 22$ is given, what is the sum and product of the zeroes?

sum

= 11

, product

= 22

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sum

= - 11

, product

= 22

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sum

= 11

, product

= - 22

No worries! We‘ve got your back. Try BYJU‘S free classes today!

sum

= 11

, product

= 11

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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Solution

The correct option is D sum $= - 11$ , product $= 22$
In the given polynomial, $x^{2} + 11 x + 22$
$a = 1, b = 11, c = 22$
Relationship between zeroes and coefficient of the polynomial:
Sum of the zeroes $=$ $\frac{C o e f f i c i e n t o f x}{C o e f f i c i e n t o f x^{2}} = \frac{- b}{a}$
$=$ $\frac{- 11}{1} = - 11$
Product of the zeroes $=$ $\frac{C o n s t a n t t e r m}{C o e f f i c i e n t o f x^{2}} = \frac{c}{a}$
$=$ $\frac{22}{1} = 22$

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