Factor x^2+15x+50

Problem

x2+15*x+50

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=15 and c=50

2. Find two numbers that multiply to c (50 and add to b (15.

3. Determine the factors by testing pairs of numbers that multiply to 50 1×50 2×25 and 5×10

4. Select the pair 5 and 10 because 5 + 10 = 15$.

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

Final Answer

x2+15*x+50=(x+5)*(x+10)

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