Factor x^2-5x-50

Problem

x2−5*x−50

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−5 and c=−50

2. Find two numbers that multiply to c (which is −50 and add to b (which is −5.

3. Determine the factors by testing pairs of numbers that multiply to −50 5 and −10 satisfy the condition because 5 + (-10) = -5$.

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

Final Answer

x2−5*x−50=(x+5)*(x−10)

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