SOLUTION: If f(x)=x(x+3)(x-1), use interval notation to give all values of x where f(x)>0. Thanks for your time.

Question 44533This question is from textbook
: If f(x)=x(x+3)(x-1), use interval notation to give all values of x where f(x)>0.
Thanks for your time. This question is from textbook

Found 2 solutions by venugopalramana, Nate:
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
If f(x)=x(x+3)(x-1), use interval notation to give all values of x where f(x)>0.
THE ROOTS ARE 0,-3,1.....-3,0,1 IN INCREASING ORDER
PLACE THE ROOTS ON A NUMBER LINE AS SHOWN BELOW
....<-3.......-3...........0........1.......>1....IN INCREASING ORDER.
NOW COME FROM RIGHT MOST
ZONE 1.....>1...THAT IS BEYOND THE LARGEST ROOT ..F(X) WILL BE +VE
ZONE 2.....BETWEEN 0 AND 1.........................F(X) WILL BE -VE
ZONE 3.....BETWEEN -3 AND 1..................... ..F(X) WILL BE +VE
ZONE 4.....<-3.....................................F(X) WILL BE -VE
HENCE F(X)>0 IN INTERVALS
X>1 THAT IS (1,INFINITY) AND -3
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
f(x) = x(x+3)(x-1)
Look at this ---->
0 < x(x + 3)(x - 1)

Answer: (-3,0) and (1,+infinity)
RELATED QUESTIONS
if f(x) =x(x+3)(x-1), use interval notation to give all values of x where f(x)>0.... (answered by CubeyThePenguin)
f(x)=x(x+3)(x-1) use interval notation to give all values of x where... (answered by funmath)
If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where f(x)>0.... (answered by venugopalramana)
If f(x) = x(x + 3)(x � 1), use interval notation to give all values of x where f(x) >... (answered by khwang)
SOMEONE PLEASE HELP ME WITH THIS PROBLEM: IF f(x)=x(x+3)(x-1), use interval notation to... (answered by Nate)
If f(x)=x(x+3)(x-1), use interval notation to give all values of x where... (answered by funmath)
IF f(x)=x(x+3)(x-1), USE INTERVAL NOTATION TO GIVE ALL VALUES OF x WHERE... (answered by jai_kos)
if f(x) = x(x+3)(x-1), use interval notation to give all values of x where... (answered by funmath)
If f(x)=x(x+3)(x-1), use interval notation to give all values of x where... (answered by bucky)