4. The graph of a polynomial function has zeros of 3 (multiplicity 2), and -7 (multiplicity 1). Write a function, in standard form, that could represent this function.

Answer 1

f(x) = (x-3)^2(x+7)

= (x^2 - 6x + 9)(x+7)

= x^3 - 6x^2 + 9x

+ 7x^2 - 42x + 63

= x^3 + x^2 - 33x + 63