00:01
In this problem, we're given a polynomial that we have to factor by grouping.
00:04
So starting off, let's find the product of the coefficients for our first and last term.
00:09
That's going to be 7 times negative 7, which just gives us negative 49.
00:15
Now we have to identify which two integer values will give us a product of negative 49, but a sum of positive 48.
00:28
And when we weigh all the possibilities, we find that the only two values we can use are 49 and negative 1.
00:39
This is because when you multiply 49 by negative 1, you get negative 49, you add them together and you get positive 48.
00:49
Therefore, rewriting here as 7x squared plus 49x minus x minus 7.
00:59
Now we can create our groups.
01:02
That's going to be 7x squared plus 49x plus negative x minus 7...