Factor x^2-7x-44

Problem

x2−7*x−44

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−7 and c=−44

2. Find two numbers that multiply to the constant term c=−44 and add to the linear coefficient b=−7

3. Test factors of −44 the pair 4 and −11 satisfies both conditions because 4⋅(−11)=−44 and 4 + (-11) = -7$.

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

Final Answer

x2−7*x−44=(x+4)*(x−11)

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