Polynomial of degree

Question

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

P(x) = ??

Answer 1

with the given roots the equation is p(x) =

a(x-2)^2(x+2)

If the y intercept is at -.8 the you have the point on the graph (0,-.8) and can use this to solve for a

-0.8=a (-2)^2 (2)

-0.8= 8a

a = -0.8/8=-.1

so equate is

p(x) = -.1(x-2)^2((x+2)