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find the GCF.
11x² - 165x​

Sagot :

Reczangelouzcidn

Answer:

To find the greatest common factor (GCF) of the terms in the expression 11x² - 165x, we need to factor out the greatest common factor from each term.

The GCF of 11x² and -165x is 11x.

So, the expression can be factored as:

11x(11x - 15)

Therefore, the GCF of the terms in the expression 11x² - 165x is 11x.

CristianAbrinaidn

Answer:

Finding the GCF

GCF stands for Greatest Common Factor. It's the largest number or expression that divides evenly into a group of numbers or terms.

Let's analyze the expression: 11x² - 165x

* Coefficients: 11 and -165

* Variables: x² and x

Steps:

* Find the GCF of the coefficients:

* Factors of 11: 1, 11

* Factors of -165: -1, 1, -3, 3, -5, 5, -11, 11, -15, 15, -33, 33, -55, 55, -165, 165

* The greatest common factor of 11 and -165 is 11.

* Find the GCF of the variables:

* The smallest exponent of x is 1 (in -165x).

* So, the GCF of x² and x is x.

* Combine the GCFs of coefficients and variables:

* The GCF of 11x² and -165x is 11x.

Therefore, the GCF of 11x² - 165x is 11x.