Factor x^2-12x+27

Problem

x2−12*x+27

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−12 and c=27

2. Find two numbers that multiply to the constant term c=27 and add to the linear coefficient b=−12

3. Determine the pair of numbers by checking factors of 27 −3 and −9 satisfy both conditions because (−3)*(−9)=27 and −3+(−9)=−12

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

Final Answer

x2−12*x+27=(x−3)*(x−9)

Want more problems? Check here!