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.−x² − 7x + 5

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 squared plus 18 H minus 54. Our answer choices are a three B -3 C six d -6. Rewriting my expression. I know I have negative six H squared Plus 18 H -45. I recall that a greatest common factor or A G C F is a value that I can divide evenly out of each term in the expression here. If I look quickly at the variables, H I notice each term does not have an H so that will not be part of my greatest common factor. So I'm gonna look at the constants and the coefficients. So the, the numerals we're used to, I'm looking at a negative six, an 18 and a negative 54. I wanna see if the value six will come out evenly in 18 and 64 or in 54 is 54. Divisible by six. Yes, it is, is 18, divisible by six. Yes, it is. So six can be divided into each term. So my greatest common factor Is the # six. However, this problem asks us for our negative greatest common factor or G C F. So that would be the opposite of six, which is negative six. So our value is negative six which is answer choice D have a nice day.

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In Exercises 23–34, factor out the negative of the greatest common factor.−x² − 7x + 5

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