00:01
Okay, i'll help set up this problem so that you can solve for it.
00:06
So we're asked for a third -degree polynomial to go through all four of these points.
00:12
Well, a third -degree polynomial looks the following.
00:15
So y is equal to ax cubed plus bx squared plus cx plus d.
00:24
And of course what we're trying to find are the values for a, b, c, and d such that this function goes through these points.
00:39
So this is x and this is y.
00:41
So for instance, to get the equations that we need, we just plug in the values of x and y several times.
00:51
So for the first point, if we plug it in, well, y is on the left side, so 42 is equal to a times 0, x is 0, plus b times 0, so these are all 0, plus c times 0, plus d...