Factor x^2+10x+16

Problem

x2+10*x+16

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=10 and c=16

2. Find two numbers that multiply to c (which is 16 and add up to b (which is 10.

3. Determine the factors by testing pairs of numbers that multiply to 16 1⋅16 2⋅8 and 4⋅4

4. Select the pair 2 and 8 because 2 + 8 = 10$.

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

Final Answer

x2+10*x+16=(x+2)*(x+8)

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