00:01
The concept involved in this problem is to divide a polynomial by a binomial using synthetic division.
00:10
In this problem, you are given a polynomial of degree four, and we will divide it by a binomial using synthetic division.
00:21
Now, before we set up the synthetic division, let's analyze the polynomial.
00:26
We notice it's a degree four.
00:28
It's got a term that has an exponent of four, and then an exponent of three, and then an exponent of two, and then a constant.
00:38
That means the term with an exponent of x to the first is omitted.
00:43
So we need to insert a zero x.
00:49
You need a term for every degree below the highest degree.
00:55
So this is a degree of four.
00:57
We need a term with four, three, two, and then x to the first and then the constant.
01:02
Okay, so with that taking care of we can now set up our synthetic division.
01:07
We are going to set up the coefficients and the constant of the polynomial.
01:13
So we have a negative 11, 2, negative 8, 0, negative 4...