Factor x^2+5x-6

Problem

x2+5*x−6

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=5 and c=−6

2. Find two numbers that multiply to c (which is −6 and add to b (which is 5.

3. Determine the pair of numbers by testing factors of −6 the numbers 6 and −1 satisfy both conditions because 6⋅(−1)=−6 and 6 + (-1) = 5$.

4. Write the factored form using these two numbers as (x+p)*(x+q)

Final Answer

x2+5*x−6=(x+6)*(x−1)

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