Factor x^2+15x+44

Problem

x2+15*x+44

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=15 and c=44

2. Find two numbers that multiply to the constant term c=44 and add up to the linear coefficient b=15

3. List the factor pairs of 44 (1,44) (2,22) and (4,11)

4. Select the pair (4,11) because 4 + 11 = 15$.

5. Write the factored form using these two numbers as (x+p)*(x+q)

Final Answer

x2+15*x+44=(x+4)*(x+11)

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