Factor x^2-10x+24

Problem

x2−10*x+24

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−10 and c=24

2. Find two numbers that multiply to the constant term c=24 and add up to the linear coefficient b=−10

3. Determine the pair of numbers by testing factors of 24 −4 and −6 satisfy both conditions because (−4)*(−6)=24 and −4+(−6)=−10

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

Final Answer

x2−10*x+24=(x−4)*(x−6)

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