Factor x^2+14x+40

Problem

x2+14*x+40

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=14 and c=40

2. Find two numbers that multiply to c (40 and add to b (14.

3. List the factor pairs of 40 (1,40) (2,20) (4,10) and (5,8)

4. Select the pair (4,10) because 4 + 10 = 14$.

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

Final Answer

x2+14*x+40=(x+4)*(x+10)

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