Factor x^2+9x+14

Problem

x2+9*x+14

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=9 and c=14

2. Find two numbers that multiply to c (14 and add to b (9.

3. Determine the factors by testing pairs of numbers that multiply to 14 1×14 (sum is 15 and 2×7 (sum is 9.

4. Write the expression as a product of two binomials using the numbers 2 and 7

Final Answer

x2+9*x+14=(x+2)*(x+7)

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