Factor x^2-4x+3

Problem

x2−4*x+3

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−4 and c=3

2. Find two numbers that multiply to equal c (3 and add to equal b (−4.

3. Determine the factors by testing pairs of integers that multiply to 3 (−1)×(−3)=3 and (−1)+(−3)=−4

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

Final Answer

x2−4*x+3=(x−1)*(x−3)

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