Factor x^2+13x+42

Problem

x2+13*x+42

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=13 and c=42

2. Find two numbers that multiply to c (42 and add up to b (13.

3. Determine the factors of 42 that satisfy the condition: 6×7=42 and 6 + 7 = 13$.

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

Final Answer

x2+13*x+42=(x+6)*(x+7)

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