The number of polynomials having zeroes as –2 and 5 is

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more than 3

answer is D.

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Detailed Solution

Given zeroes of the polynomial are -2 and 5.
As we know, if the zeroes of the polynomial is given then we can find the equation by,

x 2 −

(sum of zeroes)

x +

(product of zeroes). Then, we will obtain the sum and product of the zeroes.

⇒ Sum of zeros = − 2 + 5 = 3

And,

⇒ Product of zeros = − 2 5 = − 10

Then,

⇒ x 2 − 3 x + − 10 = 0 ⇒ x 2 − 3 x − 10 = 0

There are many other quadratic equations obtained by multiplication or division by a constant value.
Therefore, option 4 is correct.

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