Factor 4x^2+8x+3

Problem

4*x2+8*x+3

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=4 b=8 and c=3

2. Find two numbers that multiply to a⋅c=12 and add to b=8 These numbers are 6 and 2

3. Rewrite the middle term 8*x using the two numbers found: 4*x2+6*x+2*x+3

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

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

5. Factor out the common binomial (2*x+3)

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

Final Answer

4*x2+8*x+3=(2*x+1)*(2*x+3)

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