00:01
Okay, so let us start with the question.
00:03
The question says to find the greatest common factor from each of the polynomial.
00:09
So the polynomial that we have got over here is 4x plus 20.
00:13
We have to find the gcf for this greatest common factor.
00:19
So before starting, i'll put down the steps for you.
00:22
So these are the steps to be followed.
00:24
Okay, so first what we have to do is we have to find the gcf of the terms.
00:28
So we will try to find the gcf of the terms.
00:31
For each of the terms you will rewrite the each of the term as product of its gcf then we will factor the gcf and the last step will be to check check means we will just uh try to solve that factor and we will find we can get back that term so i like it okay so let's do let's start with the step one okay step one what we will do is we will find the gcf of the terms so what we will do is we will write this as individual terms okay 4x and 20 so i'll write a 4x and 20 so as we used to find the normal gcf, that same method we will do.
01:06
So four i have to express it as its, that previous method was we have to, what, express this coefficient as product of its primes.
01:15
And we will write that variable over next to it as its product.
01:19
Okay.
01:19
So what i will do is four, i can write it as two into two.
01:23
So i'll write two into two and then x.
01:25
Okay.
01:26
20 i can write it as, what, four into five.
01:31
5 is prime, 4 is not prime, so 4 will be 2 into 2.
01:35
So this will come as 2 into 2 into 5.
01:38
Okay, this much.
01:39
Now what we will do is we will try to find out the common things.
01:41
Here we have this pair of 2 common, this pair is common, x is not common.
01:45
Okay, so i'll try to highlight whatever is common...