Factor x^2+11x+10

Problem

x2+11*x+10

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=11 and c=10

2. Find two numbers that multiply to c (10 and add to b (11.

3. Determine the factors of 10 which are 1×10 and 2×5

4. Select the pair 1 and 10 because 1 + 10 = 11$.

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

Final Answer

x2+11*x+10=(x+1)*(x+10)

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