00:01
In this problem, we're being asked to solve the given quadratic inequality.
00:04
Well, in order to do that, we have to first find the zeros, meaning we'll set our quadratic equal to zero.
00:10
Now, i'm going to solve this by factoring.
00:12
There is no greatest common factor, so we don't have to worry about that.
00:15
And because the coefficient of our first terms one, we can set up both of our binomials, and we know both of them will start with x because x times x is x squared.
00:25
Now we just have to find two integers that multiply the six that will add to five.
00:30
Thinking positive 3 and positive 2.
00:33
3 plus 2 is 5.
00:35
3 times 2 is 6.
00:36
Perfect.
00:36
So we'll fill those in.
00:38
So now we've factored.
00:40
So to solve for x, we'll set both of our factors equal to 0.
00:45
So to solve the first equation, we'll subtract 3 from both sides, so x will be negative 3.
00:50
To solve the second equation, we subtract 2 from both sides, so x will equal to negative 2.
00:55
Perfect.
00:56
Now we have our 2 zeros.
00:58
Next, we're going to set up a sign chart...