Factor m^2+2m-24

Problem

m2+2*m−24

Solution

1. Identify the coefficients of the quadratic expression in the form a*m2+b*m+c where a=1 b=2 and c=−24

2. Find two numbers that multiply to the constant term c=−24 and add to the linear coefficient b=2

3. Determine the pair of numbers by checking factors of −24 the numbers 6 and −4 satisfy both conditions because 6⋅(−4)=−24 and 6 + (-4) = 2$.

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

Final Answer

m2+2*m−24=(m+6)*(m−4)

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