00:01
Here we are asked to write a polynomial that has degree 5, and it has a multiplicity of 2, at x equals negative 3, and x equals 2, and then a multiplicity of 1, at x equals negative 2, and then y -intercept at 0, 4.
00:29
So what i'm going to do is write each of these in parentheses, so x plus 3, times x plus 3, x plus 2, times x minus 2, times x minus 2.
00:49
And i'm going to foil these together, and these together first.
00:53
These two together would give me x squared, plus 6x plus 9.
01:02
These two together would give me x squared minus 4, times x minus 2.
01:11
Then i'm going to go ahead and multiply these two together.
01:19
That's going to give me x to the third, minus 2x squared, minus 4x, plus 8.
01:30
And then i'm going to go ahead and foil all of these together.
01:34
So that's x to the fifth, minus 2x to the fourth, minus 4x to the third, plus 8x squared, plus 6x to the fourth, minus 12x to the third, minus 24x squared, plus 48x, plus 9x to the third, minus 18x squared, minus 36x, plus 72...