00:01
So let's start with the question.
00:03
The question says to find the greatest common factor and factor it.
00:06
Okay.
00:07
So the polynomial that we have been given is minus 2x minus 4.
00:11
The thing that we have to notice in this type of question is, as i will write what we have to find.
00:16
And okay, the thing, first thing you have to notice that the whole terms are in negative.
00:23
So variable, if you see the variable over here is x and it is also in x.
00:28
So always remember, the, coefficient of the highest exponent okay of a polynomial the co it's coefficient is known as the leading coefficient so in this only one term is there x is there but when you have several other terms like x square x cube always look uh see if it's almost everything is in negative just look the highest powers coefficient highest powers coefficient will be your leading coefficient and if it is negative the gcf will be negative.
01:01
I'll write down the steps for you.
01:04
Just one sec.
01:10
Okay.
01:11
So these are the steps involved.
01:14
Okay.
01:15
So leading coefficient is nothing but the coefficient of the highest power.
01:19
Okay.
01:20
So highest power if you have like, if you have x square x cube or x2 power 5 x2 .6, just look for the highest power.
01:30
So here highest power is 6 and its coefficient will be the leading coefficient.
01:34
So let's start with this.
01:35
This question.
01:36
So the step one says to look at the sign of the leading coefficient.
01:40
Here we have only x power is one.
01:42
So okay so if it is negative the gcf will also be negative this case.
01:48
Okay so we have to note gcf is negative okay and the next step will be we have to ignore the sign and find the gcf as we used to do normally we will find the gcf for each term.
01:59
Okay then we will rewrite each term using gcf then we will factor out gcf and just check it okay so let's start...