Factor 5x^2+17x+6

Problem

5*x2+17*x+6

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=5 b=17 and c=6

2. Calculate the product of a and c which is 5⋅6=30

3. Find two numbers that multiply to 30 and add up to the middle coefficient b=17 These numbers are 15 and 2

4. Rewrite the middle term 17*x using the two numbers found in the previous step.

5*x2+15*x+2*x+6

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)+2*(x+3)

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

(5*x+2)*(x+3)

Final Answer

5*x2+17*x+6=(5*x+2)*(x+3)

Want more problems? Check here!