Find the zero(s) at which f "flattens out". Express the zero(s) as ordered pair(s).

Question

consider the following a a polynomial function: f(x)=(x+1)^2(x-4)^3(x-3)

Find the zero(s) at which f "flattens out". Express the zero(s) as ordered pair(s).

Answer 1

(-1,0), (4,0) and (3,0) are the zeros.

the curve is tangent to the y axis at (-1,0) and crosses the y axis at (4,0) and (3,0). the curve has zero slope at (-1,0) which "flattens" the curve at that one point.