SOLUTION: Find the polynomial that has the indicated zeros and no others ZEROS: -1 multiplicity 1, 1 with multiplicity 2. P(x) =

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the polynomial that has the indicated zeros and no others ZEROS: -1 multiplicity 1, 1 with multiplicity 2. P(x) =       Log On


   

Question 134054: Find the polynomial that has the indicated zeros and no others
ZEROS: -1 multiplicity 1, 1 with multiplicity 2.
P(x) =
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
How do you find a zero of a polynomial? You are given the zeros, so you need to create a polynomial that has those zeros.
f%28x%29+=+%28x%2B1%29+%28x-1%29+%28x-1%29 first zero is -1, followed by two factor with a zero at 1
Now do the multiplication
+f%28x%29+=+%28x%2B1%29%28x%5E2-2x%2B1%29
+f%28x%29+=+x%28x%5E2-2x%2B1%29%2B+1%28x%5E2-2x%2B1%29
+f%28x%29+=+x%5E3-2x%5E2%2Bx%2B+x%5E2-2x%2B1
+f%28x%29+=+x%5E3-x%5E2-x%2B1