Factor 6v^2+66v+60

Problem

6*v2+66*v+60

Solution

1. Identify the greatest common factor (GCF) for all three terms in the expression.

2. Factor out the GCF, which is 6 from the expression.

6*(v2+11*v+10)

3. Find two numbers that multiply to 10 and add to 11 to factor the quadratic trinomial inside the parentheses.

4. Determine that the numbers are 10 and 1

5. Rewrite the trinomial as a product of two binomials using these numbers.

6*(v+10)*(v+1)

Final Answer

6*v2+66*v+60=6*(v+10)*(v+1)

Want more problems? Check here!