Factor x^2-14x+24

Problem

x2−14*x+24

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−14 and c=24

2. Find two numbers that multiply to c (which is 24 and add to b (which is −14.

3. List pairs of factors for 24 (−1,−24) (−2,−12) (−3,−8) and (−4,−6)

4. Select the pair (−2,−12) because −2+(−12)=−14

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

Final Answer

x2−14*x+24=(x−2)*(x−12)

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