The number of polynomial having zeroes as -2 and 5 is

(a) 1
(b) 2
(c) 3
(d) more than 3
Correct option: (d) more than 3
Let the zeroes of the polynomial be α = -2 and β = 5.
The general form of polynomial with α and β as the zeroes is given by:
k[x2 – (α + β)x + αβ], k is any real number
= k[x2 – (-2 + 5)x + (-2)(5)]= k(x2 -3x – 10)
Thus, more than 3 polynomials can have the zeroes -2 and 5.

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