Factor x^2-6x+5

Problem

x2−6*x+5

Solution

1. Identify the coefficients of the quadratic expression a*x2+b*x+c where a=1 b=−6 and c=5

2. Find two numbers that multiply to c (which is 5 and add to b (which is −6.

3. Determine the pair of numbers, which are −1 and −5 since (−1)×(−5)=5 and (−1)+(−5)=−6

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

Final Answer

x2−6*x+5=(x−1)*(x−5)

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