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 c (−45 and add to b (−44.

3. Determine the pair of factors by testing pairs of numbers that multiply to −45 5 and −9

4. Verify the sum: 5 + (-9) = -4$.

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

Final Answer

x2−4*x−45=(x−9)*(x+5)

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