Graphs of Polynomial Functions

Question

3

The polynomial of degree , , has a root of multiplicity  at  and a root of multiplicity  at . The -intercept is .

Find a formula for .

Answer 1

P(x) = A(x - 4)²(x + 3)

P(0) = -14.4 ⇒

-14.4 = A(-4)²(3)

Now solve for A, and plug it into

P(x) = A(x - 4)²(x + 3),

and you are done.