Factor out the GCF from the given polynomial
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Factor out the GCF from the given polynomial

[From: ] [author: ] [Date: 11-12-16] [Hit: ]
(-18x²), and (-4xy).What divides evenly into all 3 of these?Well, theres a 2 in common, and also an x,......
2x^3 y - 18x^2 - 4xy

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GCF- Greatest Common Factor. In other words, find the number and/or variable(s) that divide evenly into all polynomials. Here you have 3 polynomials: (2x³y), (-18x²), and (-4xy). What divides evenly into all 3 of these? Well, there's a 2 in common, and also an x, so 2x! So you would factor out 2x from all constants by dividing them, like this:

2x(x²y-9x-2y)

This polynomial is in its simplest form.

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2x^3 y - 18x^2 - 4xy = 2x(x^2 y - 9x - 2y)

check by multiplying.


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2x(x^2y-9x-2y)

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2x

:)
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