Factor x^2+12x+11

Problem

x2+12*x+11

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=12 and c=11

2. Find two numbers that multiply to c (11 and add to b (12.

3. Determine the factors by testing pairs of numbers that multiply to 11 Since 11 is prime, the only integer pair is 1 and 11

4. Verify that 1 + 11 = 12,w*h*i*c*h*m*a*t*c*h*e*s(t)*h*e*m*i*d(d(l))*e*c*o*e*ƒ*ƒ*i*c*i*e*n*t$.

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

Final Answer

x2+12*x+11=(x+1)*(x+11)

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