Factor 2x^2+3x+1

Problem

2*x2+3*x+1

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=2 b=3 and c=1

2. Find two numbers that multiply to a⋅c=2⋅1=2 and add to b=3

3. Determine that the two numbers are 2 and 1 since 2⋅1=2 and 2 + 1 = 3$.

4. Rewrite the middle term 3*x using these two numbers as 2*x+x

2*x2+2*x+x+1

5. Factor by grouping the first two terms and the last two terms.

2*x*(x+1)+1*(x+1)

6. Factor out the common binomial factor (x+1)

(2*x+1)*(x+1)

Final Answer

2*x2+3*x+1=(2*x+1)*(x+1)

Want more problems? Check here!