WEBVTT

1
00:00:00.000 --> 00:00:06.142
Here is the problem: (negative 5x minus 5) squared minus (negative 6x plus 2).

2
00:00:06.592 --> 00:00:10.365
Expand and simplify the polynomial into standard form.

3
00:00:11.165 --> 00:00:20.325
Distribute every product and power. Multiply each term of one factor by each term of the other; expand powers by repeated multiplication.

4
00:00:20.775 --> 00:00:23.236
Combine like terms and order by degree.

5
00:00:23.686 --> 00:00:29.863
Read off the key features. degree 2, leading coefficient 25, constant term 23.

6
00:00:30.662 --> 00:00:36.513
So the answer is 25x squared plus 56x plus 23.

7
00:00:36.963 --> 00:00:48.770
In standard form the polynomial is 25x squared plus 56x plus 23 (degree 2, leading coefficient 25, constant term 23).

8
00:00:49.570 --> 00:00:56.060
Spot check at x equals 2: original and expanded form both give 235.
