Factor x^2-13x-30

Problem

x2−13*x−30

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−13 and c=−30

2. Find two numbers that multiply to a⋅c=−30 and add to b=−13

3. Test factor pairs of −30
   1⋅−30=−30 (Sum: −29
   2⋅−15=−30 (Sum: −13

4. Rewrite the expression using the factors 2 and −15 in the binomial form (x+p)*(x+q)

Final Answer

x2−13*x−30=(x+2)*(x−15)

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