Factor x^2+14x+33

Problem

x2+14*x+33

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=14 and c=33

2. Find two numbers that multiply to c (33 and add to b (14.

3. Determine the factors of 33 which are 1×33 and 3×11

4. Select the pair 3 and 11 because 3 + 11 = 14$.

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

Final Answer

x2+14*x+33=(x+3)*(x+11)

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