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Use the grouping method to factor this polynomial completely.
2x + 6x2 + 5x+15

1 Answer

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Answer:


(3x+1)(2x+5)

Explanation:

The correct expression is
2x+6x^2+5+15x

To use the grouping method, we need to group factorable monomials using parentheses. Notice that 2x and 6x² have a common factor 2x; similarly, 5 and 15x have a common factor 5. We can group each pair of monomials using parenthesis, and then factor each one.


2x + 6x^2 + 5+15x


(6x^2+2x)+(15x+5)


2x(3x+1)+5(3x+1)

Now we can factor the common monomial
(3x+1):


(3x+1)(2x+5)

User Renick
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