Factor x^2-2x-48

Problem

x2−2*x−48

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−2 and c=−48

2. Find two numbers that multiply to c (−48 and add to b (−2.

3. Determine the factors by testing pairs of numbers: 6 and −8 satisfy the conditions because 6⋅(−8)=−48 and 6 + (-8) = -2$.

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

Final Answer

x2−2*x−48=(x−8)*(x+6)

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