factor out the GCF
6x^2-10x
They both are divisible by 2 and each have at least one x..so the GCF is 2x and it's factored like this: 2x(3x-5).
To factor out the Greatest Common Factor (GCF) from the given expression 6x^2 - 10x, you need to find the largest numerical or variable term that can divide both terms evenly.
Let's find the GCF step by step:
Step 1: Identify the GCF of the coefficients.
The coefficients in this case are 6 and -10. The GCF of 6 and -10 is 2 since it is the largest number that divides both 6 and 10 evenly.
Step 2: Identify the GCF of the variables.
The variables in this case are x^2 and x. The GCF of x^2 and x is x, since it is the largest power of x that divides both terms evenly.
Step 3: Combine the GCF of the coefficients and variables.
The GCF of the coefficients is 2, and the GCF of the variables is x. Multiplying these together, we get 2x.
Therefore, the factored form of 6x^2 - 10x by factoring out the GCF is:
2x(3x - 5)