Factor -12x^2+72x

Problem

−12*x2+72*x

Solution

1. Identify the greatest common factor (GCF) of the terms −12*x2 and 72*x

2. Determine the numerical GCF by finding the largest number that divides both −12 and 72 which is 12 Since the leading coefficient is negative, it is standard to factor out −12

3. Determine the variable GCF by finding the lowest power of x present in both terms, which is x1 or x

4. Factor out the GCF −12*x from each term by dividing each part of the expression by −12*x

5. Divide −12*x2 by −12*x to get x

6. Divide 72*x by −12*x to get −6

7. Combine the GCF and the remaining terms into a factored product.

Final Answer

−12*x2+72*x=−12*x*(x−6)

Want more problems? Check here!