SOLUTION: If P(x) = (x - 5)^3(x + 2)^2, then the graph of the polynomial function P(x) crosses the x-axis at (5, 0). True or false. Please explain steps. Thanks!

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If P(x) = (x - 5)^3(x + 2)^2, then the graph of the polynomial function P(x) crosses the x-axis at (5, 0). True or false. Please explain steps. Thanks!      Log On


   



Question 747427: If P(x) = (x - 5)^3(x + 2)^2, then the graph of the polynomial function P(x) crosses the x-axis at (5, 0). True or false. Please explain steps. Thanks!
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
we are given the polynomial
P(x) = (x - 5)^3(x + 2)^2
then the graph of the polynomial function P(x) crosses the x-axis at (5, 0). True or false.
for (5,0), x=5 and y=0
P(x)=y=0=(5 - 5)^3 * (5+2)^2=0
the statement is true