Factor x^2+13x+22

Problem

x2+13*x+22

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=13 and c=22

2. Find two numbers that multiply to c (22 and add to b (13.

3. Determine the factors of 22 which are 1×22 and 2×11

4. Select the pair 2 and 11 because 2 + 11 = 13$.

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

Final Answer

x2+13*x+22=(x+2)*(x+11)

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