Factor x^2+2x-24

Problem

x2+2*x−24

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=2 and c=−24

2. Find two numbers that multiply to c (which is −24 and add to b (which is 2.

3. Determine the factors of −24 that satisfy the condition: 6 and −4 since 6⋅(−4)=−24 and 6 + (-4) = 2$.

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

Final Answer

x2+2*x−24=(x+6)*(x−4)

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