Factor x^2+9x+8

Problem

x2+9*x+8

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=9 and c=8

2. Find two numbers that multiply to c (which is 8 and add to b (which is 9.

3. Determine the factors of 8 that satisfy the condition: 1 and 8 because 1⋅8=8 and 1 + 8 = 9$.

4. Rewrite the expression as a product of two binomials using these numbers.

Final Answer

x2+9*x+8=(x+1)*(x+8)

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