The number of polynomials having zeroes as –2 and 5 is
(A) 1
(B) 2
(C) 3
(D) more than 3
Answer. [D]
Solution. Polynomial : It is an expression of more than two algebraic terms, especially the sum of several terms that contains different powers of the same variable(s).
Let the polynomial is ….(*)
We know that sum of zeroes
…..(1)
Multiplication of zeroes
…..(2)
Form equation (1) and (2) it is clear that
a = 1, b = –3, c = –10
put value of a, b and c in equation (*)
….(3)
But we can multiply of divide eqn. (3) by any real number except 0 and the zeroes remain same.
Hence, there are infinite number of polynomial exist with zeroes –2 and 5.
Hence the answer is more than 3.