what’s the gc of 3x^3 and -15x^2

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09-01-2024
Mathematics

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what’s the gc of 3x^3 and -15x^2

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Micaellashne Micaellashne · Answer 1 · 2024-01-09T14:47:30+01:00

Step-by-step explanation:

The greatest common factor (GCF) of two or more numbers is the largest number that divides evenly into each of the numbers. In the case of algebraic expressions, we look for the greatest common factor in both the coefficients (the numbers in front of the variables) and the variables themselves.

For the expressions 3x^3 and -15x^2, let's first find the GCF of the coefficients:

The GCF of 3 and -15 is 3.

Next, let's find the GCF of the variables:

The GCF of x^3 and x^2 is x^2, because x^2 is the highest power of x that divides evenly into both x^3 and x^2.

So, the GCF of 3x^3 and -15x^2 is 3x^2.

I hope this helps!