Factor x^2-3x+2

Problem

x2−3*x+2

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−3 and c=2

2. Find two numbers that multiply to c (2 and add to b (−3.

3. Determine the factors by testing pairs of integers: (−1)×(−2)=2 and (−1)+(−2)=−3

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

Final Answer

x2−3*x+2=(x−1)*(x−2)

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