Factor x^2-9x-10

Problem

x2−9*x−10

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−9 and c=−10

2. Find two numbers that multiply to a⋅c=−10 and add to b=−9

3. Determine the factors by testing pairs of numbers: −10 and 1 satisfy both conditions because −10⋅1=−10 and −10+1=−9

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

Final Answer

x2−9*x−10=(x−10)*(x+1)

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