Question

The number of polynomials having zeroes – 3 and 4 is ______.

Options

• 1

• 2

• 3

• more than 3

Answer 1

The number of polynomials having zeroes – 3 and 4 is more than 3.

Explanation:

The number of polynomials having zeroes – 3 and 4 are infinite or more than 3.

Required polynomials = (x + 3) (x – 4)

= x² – x – 12

Now, we can check that any other quadratic polynomial that fits these conditions will be of the form k(x² – x – 12).

Where k is real.