Factor x^2+4x+3

Problem

x2+4*x+3

Solution

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

2. Find two numbers that multiply to c (3 and add to b (4.

3. Determine that the numbers 1 and 3 satisfy both conditions since 1⋅3=3 and 1 + 3 = 4$.

4. Write the expression in factored form (x+p)*(x+q) using the numbers found.

Final Answer

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

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