Factor x^2+9x+20

Problem

x2+9*x+20

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=9 and c=20

2. Find two numbers that multiply to c (20 and add up to b (9.

3. Determine the factors by testing pairs of numbers that multiply to 20 1×20 2×10 and 4×5

4. Select the pair 4 and 5 because 4 + 5 = 9$.

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

Final Answer

x2+9*x+20=(x+4)*(x+5)

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