Factor x^2+16x+55

Problem

x2+16*x+55

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=16 and c=55

2. Find two integers that multiply to c (55 and add up to b (16.

3. Test factors of 55 1×55 (sum is 56 and 5×11 (sum is 16.

4. Select the pair 5 and 11 since they satisfy both conditions.

5. Rewrite the expression as a product of two binomials using these factors.

Final Answer

x2+16*x+55=(x+5)*(x+11)

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