Factor x^2+3x+2

Problem

x2+3*x+2

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=3 and c=2

2. Find two numbers that multiply to c (which is 2 and add to b (which is 3.

3. Determine the factors by testing pairs of numbers: the numbers 1 and 2 satisfy both conditions because 1⋅2=2 and 1 + 2 = 3$.

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

Final Answer

x2+3*x+2=(x+1)*(x+2)

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