Factor x^2+14x+45

Problem

x2+14*x+45

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=14 and c=45

2. Find two numbers that multiply to c (45 and add to b (14.

3. Determine the factors of 45 (1,45) (3,15) and (5,9)

4. Select the pair (5,9) because 5 + 9 = 14$.

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

Final Answer

x2+14*x+45=(x+5)*(x+9)

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