Factor x^2+10x+9

Problem

x2+10*x+9

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=10 and c=9

2. Find two numbers that multiply to c (9 and add to b (10.

3. Determine the pair of numbers, which are 9 and 1 because 9⋅1=9 and 9 + 1 = 10$.

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

Final Answer

x2+10*x+9=(x+9)*(x+1)

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