The graph of a polynomial function has zeros of 0 (multiplicity 2), 1(multiplicity 2), and 5/2 (multiplicity 2). Write a function in standard form that could represent this function.

Answer 1

2x^6 +2x^5 - 9x^4 +12x^3 -5x^2

or any multiple of that

such as twice each term

4x^6 +4x^5 -18x^4 +24x^3 -10x^2

ax^2(x-1)^2(2x-5) expanded is the 5 term 6th degree polynomial with given roots 0, 1, 2.5 all multiplicity 2 and the coefficient a = any real number. there's an infinite number of such polynomials with the same roots

Answer 2

P(x) = (x - 0)²(x - 1)²(x - (5/2))²

Can you expand into standard form and answer?

Answer 3