SOLUTION: Given the polynomial P(x)=2x^3-x^2-13x-6 and one of its factors:x+2. How many zeros will there be. How would you know that? Find the remaining factors of the polynomial. please

Question 427006: Given the polynomial P(x)=2x^3-x^2-13x-6 and one of its factors:x+2.
How many zeros will there be. How would you know that?
Find the remaining factors of the polynomial.
please explain how you found the others.

Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
There are three zeros, since it's a third degree polynomial (fundamental theorem of algebra).

Divide using either long or synthetic division. You should obtain . We find the other zeros of the function using the quadratic equation:

= 3 or -1/2. Hence, this polynomial factors to and P(x) is equal to .
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