SOLUTION: If I have x(x+2)(x-5) would i really need to solve it to find the interval notation? isn't it (- infinity, -2) U (0,5)... ah I just see that 0,5 cannot be, if so it should be 5, i

Question 192315: If I have x(x+2)(x-5)
would i really need to solve it to find the interval notation? isn't it (- infinity, -2) U (0,5)... ah I just see that 0,5 cannot be, if so it should be 5, infinity. hm... so do i solve x^2+2x (x-5) which is x^3-5x^2+2x^2-10x but how would I go from here?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
x^3-3x^2-10x<0
-2, 0 and 5 are inflection points. We have to check on either side of inflection points to see if y is <0 or >0.
if x=-3, then x^3-3x^2-10x=-24
x=-1 then x^3-3x^2-10x=6
x=2 then x^3-3x^2-10x=-24
x=6 then x^3-3x^2-10x=48
x(-infinity, -2)U(0,5)
.
Ed
.

RELATED QUESTIONS
if I have to find the interval notation of (x-2)/(x+1)<=0 is it (- infinity, -1) U (2,... (answered by user_dude2008)

Solve x^2 + 3x > 10 Graph on number line and write in interval notation I did (x +5)... (answered by CubeyThePenguin)

I have been asked to find the domain of these two functions: f(x)=x^2/x^2-2 and... (answered by stanbon)

Find the Domain f(x)=sqrt(x^2-4) x^2-4>=0 x^2>=4 Answer x>=2 These are the options (answered by stanbon)

I really need help with this problem: Graph {{{ y= sqrt ( x+2 )}}} and give the domain... (answered by MathLover1,math-vortex)

PLEASE help me with these 2 problems as I have completed the other 28 problems on my... (answered by jim_thompson5910)

For {{{f(x) = 2/(x-3)}}} , solve for the domain and range in interval notation I found (answered by josgarithmetic)

Find f*g for f(x)= square root x+7 ; g(x)= 2/x and state the domain. Dont solve it as a... (answered by Tatiana_Stebko)

could you please help me with this equation in interval notation (x-9)(x+3)(x+6)>(or... (answered by richwmiller,josgarithmetic,ikleyn,greenestamps)