[Script Info]
Title:
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.01,0:00:04.38,Default,,0000,0000,0000,,>> Only three of these are actually fully factored, these three down here. 3x
Dialogue: 0,0:00:04.38,0:00:09.52,Default,,0000,0000,0000,,plus 2 times 5x minus 3, x plus 1 times x minus 1, and surprisingly perhaps, 3
Dialogue: 0,0:00:09.52,0:00:14.91,Default,,0000,0000,0000,,times the quantity x squared plus 1. In the first choice, the second factor, 6x
Dialogue: 0,0:00:14.91,0:00:20.06,Default,,0000,0000,0000,,plus 9, is actually the same as 3 times the quantity 2x plus 3. So since we can
Dialogue: 0,0:00:20.06,0:00:24.85,Default,,0000,0000,0000,,factor this more, it's not fully factored. Similarly, 10x minus 15 can be
Dialogue: 0,0:00:24.85,0:00:29.62,Default,,0000,0000,0000,,factored to equal 5 times the quantity 2x minus 3. X squared minus 1, as we
Dialogue: 0,0:00:29.62,0:00:34.81,Default,,0000,0000,0000,,learned earlier, can be factored as x plus 1 times x minus 1. And the expression
Dialogue: 0,0:00:34.81,0:00:39.63,Default,,0000,0000,0000,,x squared minus 4x plus 4, which we see multiplied by 5 here, is the same as x
Dialogue: 0,0:00:39.63,0:00:40.77,Default,,0000,0000,0000,,minus 2 squared.