Factor 2x^3+10x^2+12x

Problem

2*x3+10*x2+12*x

Solution

1. Identify the greatest common factor by looking at the coefficients and the variables in each term.

2. Factor out the GCF of 2*x from the entire expression.

2*x*(x2+5*x+6)

3. Factor the quadratic trinomial inside the parentheses by finding two numbers that multiply to 6 and add to 5

4. Identify the factors as 2 and 3 since 2⋅3=6 and 2 + 3 = 5$.

5. Write the final factored form by expressing the trinomial as a product of two binomials.

2*x*(x+2)*(x+3)

Final Answer

2*x3+10*x2+12*x=2*x*(x+2)*(x+3)

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