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Factor out $-1$ from each polynomial.$$10-m$$
$-(m-10)$
Algebra
Chapter 6
Factoring and Quadratic Equations
Section 1
The Greatest Common Factor; Factoring by Grouping 432
Equations and Inequalities
Quadratic Functions
Oregon State University
McMaster University
Baylor University
University of Michigan - Ann Arbor
Lectures
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over soon to take the expression 10 minus in, and we need to factor out a negative one. So factoring is kind of collective vision. It's like we're dividing this by negative one, but you're showing that it used to be multiplied by negative one before we did that. So that's why we write it on the outside. But really, we're asking what happens to the 10 and what happens to em for the minus. And really, what we're doing is dividing them by negative line to get what's left over. So that's what we're gonna do. I'm gonna take Chen, and I'm gonna divide it by negative one, and then that is going to give me negative 10 because 10 divided by one doesn't do anything that's just 10. But since it's a negative, a positive, divided body negative, that's how you get negative. I looking at the second term, we have minus EMS, guided by negative one minus the negative. We're really the same thing, so you could think of this as negative. I'm divided by negative one. While looking at the signs, I have a negative divided by negative, so that's gonna be a positive. Then I have m divided by a line. And you know that dividing by one doesn't change anything. So that's just gonna be so then to factor this, we have negative one times every negative chain.
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