Factor 5x^2+19x+12

Problem

5*x2+19*x+12

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=5 b=19 and c=12

2. Calculate the product of a and c which is 5×12=60

3. Find two numbers that multiply to 60 and add up to the middle coefficient b=19 These numbers are 15 and 4

4. Rewrite the middle term 19*x using the two numbers found: 15*x+4*x

5*x2+15*x+4*x+12

5. Factor by grouping by taking the greatest common factor out of the first two terms and the last two terms.

5*x*(x+3)+4*(x+3)

6. Factor out the common binomial (x+3)

(5*x+4)*(x+3)

Final Answer

5*x2+19*x+12=(5*x+4)*(x+3)

Want more problems? Check here!