Factor x^2+4x-5

Problem

x2+4*x−5

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=4 and c=−5

2. Find two numbers that multiply to c (which is −5 and add to b (which is 4.

3. Determine the factors by testing pairs of numbers that multiply to −5 the pair 5 and −1 satisfies both conditions because 5×(−1)=−5 and 5 + (-1) = 4$.

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

Final Answer

x2+4*x−5=(x+5)*(x−1)

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