Posted by **solomon** on Friday, July 4, 2014 at 1:09pm.

find the zeros and multiplicity of the equation, Range and interval q is positive.

q(x)=-x^2(x+1)^2(x-2)

- algebra -
**Steve**, Friday, July 4, 2014 at 2:52pm
since there are two double roots, the graph is tangent to the x-axis at 0 and -1. It crosses only at x=2.

So, since it is a 5th degree polynomial, with leading coefficient negative, it rises at the left end and falls on the right end.

So,

q > 0 for x < -1

q > 0 for -1 < x < 0

q > 0 for 0 < x < 2

q < 0 for x > 2

To confirm this, see the graph at

http://www.wolframalpha.com/input/?i=-x^2%28x%2B1%29^2%28x-2%29+for+-1.5+%3C+x+%3C+2.1

- algebra -
**solomon**, Saturday, July 5, 2014 at 9:27am
what are the zeros and multiplicity? and the Range of the equation?

## Answer this Question

## Related Questions

- Algebra - Find all of the zeros of the polynomial function and state the ...
- Algebra - Please help. Having a hard time with this. Find all of the zeros of ...
- Algebra - Find all of the zeros of the polynomial function and state the ...
- calculus - Using a graphing utility, graph and approximate the zeros and their ...
- Algebra - Find all of the zeros of the polynomial function and state the ...
- algebra URGENT HELP - form a polynomial whose degree and zeros are given. dont ...
- Math - f(x)=x64-4x^2+k. Find the values of k so thath the zeros of f satisfy the...
- ap algebra - can you check my answers please? Find the zeros for the polynomial ...
- Math - I just wanted to double check that I am correct. 1.Find the zeros for the...
- Decartes Rule of Signs - Could you explain to me decartes Rule of signs? Here ...

More Related Questions