In Exercises 23–34, factor out the negative of the greatest commo...

Question

In Exercises 23–34, factor out the negative of the greatest common factor.−4x³ + 32x² − 20x

Accepted Answer

Hello, everyone. In the following expression. What is the negative? Greatest common factor G C F? The expression we're given is negative six H cubed plus 18 H squared minus 50 4h. Our answer choices are a negative 50 4h B 50 4h C - H Or D six h rewriting my original expression. I have negative six H cubed plus 18 H squared minus 4h. I recall that the greatest common factor is the largest value that can be taken evenly out of each term of the expression. I'm gonna start here with my coefficients. So my coefficients are negative 6, 18 and negative 54. I want to find out what is the largest value I can divide evenly out of all of them. Well, I'm gonna start by looking at my smallest coefficient which I'm gonna treat as six because the largest value I could take out of six is six. So I wanna see does it go evenly into the other two values? Does six go evenly into 18? Yes, it does three times, Does six go evenly into 54. Yes, it does nine times. So six is part of our greatest common factor. Next, I'm going to look at the variables I have H cubed H squared and H so each term does have an H in it. This means I can factor out H to the first power because it cannot factor up more than the smallest exponent. The smallest exponent is H to the first power. So that is just H So my GCF here is six h. However, this question asks for the negative greatest common factor. So the negative G C F is like taking the opposite of the G C F. So the original G C F was positive six H, this will be negative six H and that is our negative G C F and it's answer choice C have a nice day.

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In Exercises 23–34, factor out the negative of the greatest common factor.−4x³ + 32x² − 20x

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