Factor x^2-11x+30

Problem

x2−11*x+30

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−11 and c=30

2. Find two numbers that multiply to the constant term c=30 and add up to the linear coefficient b=−11

3. Determine the factors of 30 that satisfy the condition: −5 and −6 work because (−5)×(−6)=30 and (−5)+(−6)=−11

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

Final Answer

x2−11*x+30=(x−5)*(x−6)

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