WEBVTT

1
00:00:00.000 --> 00:00:04.969
Here is the problem: (negative x minus 4)(negative 5x plus 2).

2
00:00:05.419 --> 00:00:09.181
Expand and simplify the polynomial into standard form.

3
00:00:09.981 --> 00:00:19.199
Distribute every product and power. Multiply each term of one factor by each term of the other; expand powers by repeated multiplication.

4
00:00:19.649 --> 00:00:22.099
Combine like terms and order by degree.

5
00:00:22.549 --> 00:00:28.749
Read off the key features. degree 2, leading coefficient 5, constant term negative 8.

6
00:00:29.549 --> 00:00:33.938
So the answer is 5x squared plus 18x minus 8.

7
00:00:34.388 --> 00:00:44.547
In standard form the polynomial is 5x squared plus 18x minus 8 (degree 2, leading coefficient 5, constant term negative 8).

8
00:00:45.347 --> 00:00:51.198
Spot check at x equals 2: original and expanded form both give 48.