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The representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0, is

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x 2 − 16

x 2 − 36

x 2 − 25

x 2 − 49

answer is B.

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Detailed Solution

p (x) = x 2 − (

Sum of zeroes

) x +

Product of zeroes
Given that, one of the zeroes

= 6

and sum of zeroes

= 0

.
Sum of zeroes = First zero + Second zero = 0.
Substitute First zero = 6 6 + Second zero = 0
Second zero = – 6
We know that, the required polynomial is, p(x)=

x 2

(Sum of zeroes) x + Product of zeroes.
Let us substitute the values,

p (x) = x 2 − 0 x + (6 x − 6)

p (x) = x 2 + (− 36)

p (x) = x 2 − 36

Therefore, the representation of Highway Underpass whose one zero is 6 and sum of the zeroes is 0 is

x 2 − 36

.
The correct option is (2).

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