Question

(Solve for x) x^3+x^2-2x>0

Answer 1

factor out the initial common 'x' and then see if the quad leftover is factorable

Answer 2

it looks to be points of interest at x=0; x = -1/2 +- 3/2

Answer 3

graph them on a number line and multiply their signage

Answer 4

<..........-2..........0..........1............>
- + + +
- - + +
- - - +
------------------------------
- + - +

Answer 5

can u write out the factoring?...im confused

Answer 6

i could, but its pretty basic enough that i believe you can accomplish it :)

Answer 7

when we factor out a common x, what are we left with?

Answer 8

idk. x(x^2+x-2)?

Answer 9

thats correct; now we just factor apart the quadratic there.

Answer 10

teh last number gives us a clue; it is made by multiplying two numbers together; what numbers can you multiply to get a 2?

Answer 11

2 and 1

Answer 12

very good :)

and can we combine 2 and 1 together to get a +1?

2 __ 1 = 1 ; what do we need to put there; + or - ?

Answer 13

the middle term is a +1x which is why we are doing that

Answer 14

-

Answer 15

good; so the quad factors like this:

x(x+2)(x-1); now we just need to now what makes each part = 0

Answer 16

x = 0 when x = ?

Answer 17

1

Answer 18

i hope thats a joke....

x = 0 when x equals 0

Answer 19

1 = 0 is a contradiction

Answer 20

0 lol

Answer 21

x+2 = 0 when x = ?

Answer 22

-2

Answer 23

good; and for the last one:

x-1 = 0 when x = ?

Answer 24

1

Answer 25

so those are the points on the number line where x = 0; anything greater than that will be ....well, greater than 0

we map them individually

Answer 26

<......-2........0..........1.........>
- + + + for (x+2)
- - + + for x = 0
- - - + for (x-1)
----------------------------
- + - + when they are all multiplied together
we get these results

Answer 27

when x is between -2 and 0; we get a value greater than 0
when x is between 1 and infinity; we get a value greater then 0

Answer 28

so is it -2>x>1?

Answer 29

almost.... try that again; we have 2 seperate areas

-2 < x < 0 < 1 < x < infinity

Answer 30

(-2,0) U (1,inf) is another way to write it

Answer 31

oh ok. but whyd you put the infinity in there?

Answer 32

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

Answer 33

because you want all the numbers that make it true; and it is true for all the number from 1 up to as far as you wana count..

Answer 34

infinity just means that there are no restrictions to get inn the way

Answer 35

ooohh. dang u are good.

Answer 36

so that means (-2,0) is in union with (1,inf)

Answer 37

??

Answer 38

correct

Answer 39

thanks man u rly helped

Answer 40

the graph of this thing is like this:

Answer 41

its greater than 0 when its above the x axis :)

Answer 42

wait so that that x is greater than 0 when above the x axis?

Answer 43

means*

Answer 44

yes; the y axis is the results of the equation

Answer 45

y is greter than 0 above the xaxis; and less than 0 below it

Answer 46

the graph is just a visual means of getting the same results

Answer 47

when x=0; we call those roots of the equation; or zeros to indicate the x intercepts