SOLUTION: FIND THE ZEROS OF THE POLYNOMIAL FUNCTION AND STATE THE MULTIPLICITY IF EACH. f(x)=x cubed+7x squared-x-7 A)-7, multiplicity 1; -1 multiplicity 2 B)-7, multiplicity 2; 1, multip

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: FIND THE ZEROS OF THE POLYNOMIAL FUNCTION AND STATE THE MULTIPLICITY IF EACH. f(x)=x cubed+7x squared-x-7 A)-7, multiplicity 1; -1 multiplicity 2 B)-7, multiplicity 2; 1, multip      Log On


   

Question 141387: FIND THE ZEROS OF THE POLYNOMIAL FUNCTION AND STATE THE MULTIPLICITY IF EACH.
f(x)=x cubed+7x squared-x-7
A)-7, multiplicity 1; -1 multiplicity 2
B)-7, multiplicity 2; 1, multiplicity 1
C)-1 multiplicity 1; 1, multiplicity 1; 7, multiplicity 1
D)-7, multiplicity 1; -1 multiplicity 1; 1, multiplicity 1
I'm thinking the answer is D, but I would like to know for sure. Thanks!
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+x%5E3+%2B7x%5E2-x-7
Factor by grouping:
f%28x%29+=+x%5E2%28x+%2B7%29-1%28x%2B7%29+
f%28x%29+=+%28x+%2B7%29%28x%5E2-1%29+
f%28x%29+=+%28x+%2B7%29%28x-1%29%28x%2B1%29+

Zeros are at x=-7,x=1, and x=-1, each of multiplicity 1. D is correct!

R^2