Question

The number of polynomials having zeroes as 4 and 7 is​

Answer 1

Answer:

infinite is the answer hope this helps you

Answer 2

There can be infinite number of polynomials with zeros - 3 and 7.

EXPLANATION:

A polynomial which has zeros - 3 and 7 is

f(x) = {x - (- 3)} (x - 7)

i.e., f(x) = (x + 3) (x - 7)

i.e., f(x) = x² - 4x - 21

We can consider another polynomial g(x) = 2 f(x), which has zeros - 3 and 7.

In this way we can find F(x) = n f(x), where n is any real number and F(x) will contain zeros - 3 and 7.

Therefore there can be an infinite number of polynomials having zeros - 3 and 7.