Factor x^2-15x+36

Problem

x2−15*x+36

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−15 and c=36

2. Find two numbers that multiply to the constant term c=36 and add up to the linear coefficient b=−15

3. Test pairs of factors of 36 (−1,−36) (−2,−18) (−3,−12) and (−4,−9)

4. Select the pair (−3,−12) because −3×−12=36 and −3+(−12)=−15

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

Final Answer

x2−15*x+36=(x−3)*(x−12)

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