Polynomial Functions?

Question

List Three equations in factored form that will have a graph that crosses the x-axis at -2 and then y-axis at -10. Hint: If may also cross in places other than -2.

f(x) ?
g(x) ?
h(x) ?

Answer 1

y+5(x+2)=0

y-(x+2)(x-5)=0

y^2-(x+2)(x+1)(x-5)=0

Answer 2

f(x) = -5(x+2)

g(x) = f(x) * anything that is equal to 1 when x = 0, say x^2 + 1

h(x) = ditto, say x^4 + 1