Factor x^2+12x+20

Problem

x2+12*x+20

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=12 and c=20

2. Find two numbers that multiply to c (20 and add up to b (12.

3. Determine the factors of 20 that satisfy the condition: 10×2=20 and 10 + 2 = 12$.

4. Rewrite the expression in factored form (x+p)*(x+q) using the numbers found in the previous step.

Final Answer

x2+12*x+20=(x+10)*(x+2)

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