Factor 3x^2-15x+18

Problem

3*x2−15*x+18

Solution

1. Identify the greatest common factor (GCF) of all three terms, which is 3

2. Factor out the GCF from the expression.

3*(x2−5*x+6)

3. Find two numbers that multiply to the constant term 6 and add to the linear coefficient −5

4. Determine that the two numbers are −2 and −3

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

3*(x−2)*(x−3)

Final Answer

3*x2−15*x+18=3*(x−2)*(x−3)

Want more problems? Check here!