SOLUTION: What is a polynomial with a single root at x = -6 and a triple root at x = -1?

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Question 742494: What is a polynomial with a single root at x = -6 and a triple root at x = -1?
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
When a root is at x=a then the factor is x-a. So for x=-6 the factor is x+6, and for x=-1 the factor is x+1. Multiplicity 3 means there are three factors (x+1).


Multiply the factors together to see the polynomial.


(x+6)(x+1)(x+1)(x+1) = %28x%2B6%29%28x%5E3%2B3%2Ax%5E2%2B3%2Ax%2B1%29+=+x%5E4%2B9%2Ax%5E3%2B21%2Ax%5E2%2B19%2Ax%2B6