Factor x^2-15x+50

Problem

x2−15*x+50

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−15 and c=50

2. Find two numbers that multiply to c (50 and add to b (−15.

3. Determine the factors by testing pairs of numbers that multiply to 50 such as −5 and −10

4. Verify that (−5)×(−10)=50 and (−5)+(−10)=−15

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

Final Answer

x2−15*x+50=(x−5)*(x−10)

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