Factor x^2+4x-45

Problem

x2+4*x−45

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=4 and c=−45

2. Find two numbers that multiply to the constant term c=−45 and add to the linear coefficient b=4

3. Determine the factors of −45 that satisfy the condition: 9 and −5 work because 9×(−5)=−45 and 9 + (-5) = 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−45=(x+9)*(x−5)

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