Video: Factoring by Finding the Highest Common Factor

Factor 8π‘₯ + 40 completely.

01:21

Video Transcript

Factor eight π‘₯ plus 40 completely.

In order to factor completely the expression eight π‘₯ plus 40, we need to find the highest common factor of eight π‘₯ and 40. The highest common factor of these two terms is eight. This means that we can write eight outside of the bracket or parenthesis.

Eight π‘₯ divided by eight is equal to π‘₯. Therefore, the first term inside the parenthesis is π‘₯. 40 divided by eight is equal to five. Therefore, the second term inside the parentheses is five. The completely factored version of eight π‘₯ plus 40 is eight multiplied by π‘₯ plus five.

We can check this answer by expanding or multiplying out the parenthesis. Multiplying the eight by π‘₯ gives us eight π‘₯. And multiplying eight by positive five gives us positive 40. This gives us the same expression we started with. So we know our answer is correct. The factored version of eight π‘₯ plus 40 is eight multiplied by π‘₯ plus five.

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