Solve the following inequality and give your answer in interval form. x^3-x^2 2x

Question

Solve the following inequality and give your answer in interval form. x^3-x^2 > 2x

akshay_budhkar · Answer

whats your simplified form? you did that right?

anonymous · Answer

x(x-2)(x-1)>0

akshay_budhkar · Answer

akshay_budhkar · Answer

see this... I will explain you still if you do not get it

akshay_budhkar · Answer

You get it?

akshay_budhkar · Answer

oh satellite is here.. You can be tension free now..

anonymous · Answer

you can see in your mind that 
$$x(x-2)(x-1)$$ is a polynomial of degree 3 and so it looks like |dw:1314289686271:dw|

anonymous · Answer

so the solutions are (-1,2)

anonymous · Answer

the original equation was x^3-x^2> 2x

anonymous · Answer

d
$$x^3-x^2-2x>0$$

anonymous · Answer

yes

anonymous · Answer

$$x(x^2-x-2)>0$$
$$x(x+1)(x-2)>0$$

anonymous · Answer

first question, where is it zero? 
answer at -1, 0, and 2

anonymous · Answer

yes so how do i express that in interval form

anonymous · Answer

so (-1,2)

anonymous · Answer

we are not done yet, we only know where it is 0

anonymous · Answer

sloooowly now

anonymous · Answer

now we want to know where it is greater than zero right?

anonymous · Answer

so do a critical number line?

anonymous · Answer

if you like to spend extra time yes, or if your teacher makes you.

anonymous · Answer

but we can draw a picture of some general cubic polynomial with positive leading coefficient. it looks like |dw:1314289994031:dw|