00:01
And this problem we've been given the function f of x is equal to x the fourth plus 7x cubed, plus 13x squared, minus 3x, minus 18.
00:17
And we want to show that negative 3 is a root with a multiplicity of 2.
00:26
Now, in order to do this, we're going to synthetically divide out an x plus 3 twice.
00:32
And so let's put our negative 3 in the top left.
00:35
And then writing down our coefficients here, we have 1, 7, 13, negative 3.
00:39
3, negative 18.
00:42
Drop the 1 down.
00:45
3 times 1 is negative 3.
00:48
7 plus negative 3 is 4.
00:50
3 times 4 is negative 12.
00:53
13 plus 912 is 1.
00:56
3 times 1 is negative 3.
00:59
3 plus negative 3 is negative 6.
01:02
3 times negative 6 is 18...