Factor x^2-2x-3

Problem

x2−2*x−3

Solution

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

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

3. Determine the factors by testing pairs: the numbers −3 and 1 satisfy both conditions because (−3)*(1)=−3 and −3+1=−2

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

Final Answer

x2−2*x−3=(x−3)*(x+1)

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