The polynomial of degree 5, P ( x ) has leading coefficient a=1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of multiplicity 1 at x = − 1 Find a possible formula for P ( x ) .

, for

Step-by-step explanation:

The general form of quintic-order polynomial is:

According to the statement of the problem, the polynomial has the following roots:

Then, some algebraic handling is done to expand the polynomial:

If , then:

its 8

step-by-step explanation: