SOLUTION: Given the polynomial f(x) = x2 - 9. Find the number of solutions and the multiplicity of the solutions.

Algebra ->  College  -> Linear Algebra -> SOLUTION: Given the polynomial f(x) = x2 - 9. Find the number of solutions and the multiplicity of the solutions.      Log On


   

Question 884526: Given the polynomial f(x) = x2 - 9. Find the number of solutions and the multiplicity of the solutions.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Plug in f(x) = 0 and solve for x.


f(x) = x^2 - 9


0 = x^2 - 9


x^2 - 9 = 0


(x-3)(x+3) = 0


x-3 = 0 or x+3 = 0


x = 3 or x = -3


The two solutions are x = 3 or x = -3 (each has multiplicity 1)