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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.
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.