WEBVTT

1
00:00:00.000 --> 00:00:03.181
Here is the problem: x squared plus 7x.

2
00:00:03.631 --> 00:00:06.394
Factor a polynomial over the rational numbers.

3
00:00:07.194 --> 00:00:09.551
Write the polynomial in standard form.

4
00:00:10.001 --> 00:00:14.471
Factor out the greatest common factor. Every term is divisible by x.

5
00:00:14.921 --> 00:00:16.674
Write the complete factorization.

6
00:00:17.474 --> 00:00:19.761
So the answer is x(x plus 7).

7
00:00:20.211 --> 00:00:25.447
x squared plus 7x factors completely over the rationals as x(x plus 7).

8
00:00:26.247 --> 00:00:30.891
Expanding x(x plus 7) gives back x squared plus 7x.