The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=5 and x=0, and a root of multiplicity 1 at x=-5 Find a possible formula for P(x) .
P(x) = (x-5)^2 (x - 0)^2 (x + 5) = x^5 - 5x^4 -25x^2 +125x^2
Here's the graph.......https://www.desmos.com/calculator/cpg3b8797c
P(x) = (x-5)^2 (x - 0)^2 (x + 5) = x^5 - 5x^4 -25x^2 +125x^2
Here's the graph.......https://www.desmos.com/calculator/cpg3b8797c