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 factors of 24 that satisfy the condition: 4×6=24 and 4 + 6 = 10$.

4. Rewrite the expression as a product of two binomials (x+p)*(x+q) using the numbers found.

Final Answer

x2+10*x+24=(x+4)*(x+6)

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