WEBVTT

1
00:00:00.000 --> 00:00:04.806
Here is the problem: (negative 4x minus 4)(negative x plus 1).

2
00:00:05.256 --> 00:00:08.855
Expand and simplify the polynomial into standard form.

3
00:00:09.655 --> 00:00:18.908
Distribute every product and power. Multiply each term of one factor by each term of the other; expand powers by repeated multiplication.

4
00:00:19.358 --> 00:00:21.773
Combine like terms and order by degree.

5
00:00:22.223 --> 00:00:28.191
Read off the key features. degree 2, leading coefficient 4, constant term negative 4.

6
00:00:28.991 --> 00:00:32.033
So the answer is 4x squared minus 4.

7
00:00:32.483 --> 00:00:41.597
In standard form the polynomial is 4x squared minus 4 (degree 2, leading coefficient 4, constant term negative 4).

8
00:00:42.397 --> 00:00:47.703
Spot check at x equals 2: original and expanded form both give 12.