Factor x^2+5x+4

Problem

x2+5*x+4

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=5 and c=4

2. Find two numbers that multiply to the constant term c=4 and add up to the linear coefficient b=5

3. Determine the factors by testing pairs of numbers that multiply to 4 1×4=4 and 1 + 4 = 5$.

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

Final Answer

x2+5*x+4=(x+1)*(x+4)

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