WEBVTT
00:00:01.630 --> 00:00:05.190
Factor eight 𝑥 plus 40 completely.
00:00:06.260 --> 00:00:15.170
In order to factor completely the expression eight 𝑥 plus 40, we need to find the highest common factor of eight 𝑥 and 40.
00:00:16.320 --> 00:00:19.810
The highest common factor of these two terms is eight.
00:00:20.840 --> 00:00:25.600
This means that we can write eight outside of the bracket or parenthesis.
00:00:26.820 --> 00:00:29.800
Eight 𝑥 divided by eight is equal to 𝑥.
00:00:29.990 --> 00:00:33.590
Therefore, the first term inside the parenthesis is 𝑥.
00:00:34.790 --> 00:00:37.420
40 divided by eight is equal to five.
00:00:37.580 --> 00:00:41.410
Therefore, the second term inside the parentheses is five.
00:00:42.590 --> 00:00:50.090
The completely factored version of eight 𝑥 plus 40 is eight multiplied by 𝑥 plus five.
00:00:53.640 --> 00:00:58.630
We can check this answer by expanding or multiplying out the parenthesis.
00:00:59.430 --> 00:01:02.810
Multiplying the eight by 𝑥 gives us eight 𝑥.
00:01:04.110 --> 00:01:08.190
And multiplying eight by positive five gives us positive 40.
00:01:09.590 --> 00:01:12.190
This gives us the same expression we started with.
00:01:12.420 --> 00:01:14.490
So we know our answer is correct.
00:01:15.020 --> 00:01:21.020
The factored version of eight 𝑥 plus 40 is eight multiplied by 𝑥 plus five.