factor out the greatest common factor from the expression 18x^5+48x^2-30x
hint: I see x in every term
I see a HCF of 6 in each term
To factor out the greatest common factor (GCF) from the expression 18x^5 + 48x^2 - 30x, you need to find the largest term that can be divided evenly by the variables at each exponent.
Step 1: Find the common factors of the coefficients (18, 48, and -30). In this case, the GCF is 6 since it can divide evenly into all three coefficients.
Step 2: Determine the variables and their highest exponents that are common to all the terms. In this case, the variable is "x" and its highest exponent is 1 (x^1), since it appears in every term with the lowest exponent value.
Step 3: Combine the GCF of the coefficients with the common variables at their highest exponent.
GCF: 6x
Factored expression: 6x(3x^4 + 8x - 5)
So, the factored expression is 6x(3x^4 + 8x - 5).