Find a
polynomial P(x) of 2nd degree if P(1)=0
P (2) 3
P(-3)=0​

Given:

P(x) is a 2nd degree polynomial.

To find:

The polynomial P(x).

Solution:

If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).

We have, . It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).

So, the required polynomial is defined as:

         ...(i)

Where, a is a constant.

We have, . So, substituting in (i), we get

Putting in (i), we get

Therefore, the required polynomial is .

answer:

sometimes

*i think