Question

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

Options

• one

• two

• three

• Infinitely many

Answer 1

The number of polynomials having –2 and 5 as its zeroes is infinitely many.

Explanation:

As, f(x) = k(x + 2)(x – 5)

⟹ f(x) = k(x² – 3x – 10), k ≠ 0 

Since k can be any real number.

So, there are infinitely many such polynomials.