Factor x^2+6x+5

Problem

x2+6*x+5

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=6 and c=5

2. Find two numbers that multiply to c (which is 5 and add up to b (which is 6.

3. Determine the factors by testing pairs of numbers that multiply to 5 The pair 1 and 5 satisfies both conditions because 1⋅5=5 and 1 + 5 = 6$.

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

Final Answer

x2+6*x+5=(x+1)*(x+5)

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