SOLUTION: Find the polynomial function with the following roots: -1 of multiplicity 2; and 3. Show your work.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the polynomial function with the following roots: -1 of multiplicity 2; and 3. Show your work.      Log On


   

Question 1121116: Find the polynomial function with the following roots: -1 of multiplicity 2; and 3. Show your work.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x+=+-2+
+x+=+-2+
+x+=+3+
—————————
+f%28x%29+=+%28+x+%2B+2+%29%2A%28+x+%2B+2+%29%2A%28+x+-+3+%29+
Note that if +x+ in any of these factors have the
Above values, then +f%28x%29+=+0+, and
That value of x is a root
+f%28x%29+=+%28+x%5E2+%2B+4x+%2B+4+%29%2A%28+x+-+3+%29+
+f%28x%29+=+x%5E3+%2B+4x%5E2+%2B+4x+-+3x%5E2+-+12x+-+12+
+f%28x%29+=+x%5E3+%2B+x%5E2+-+8x+-+12+