Using the 4 train car strategy for factoring polynomials, what is the green common factor for the 1st two train cars and the gre

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Using the 4 train car strategy for factoring polynomials, what is the green common factor for the 1st two train cars and the gre

en common factor for the 3rd and 4th train car: . note: the answers are intermediary steps. do not enter the final step or factored form, but this question is asking what is the intermediate step as the answer.
2x^2 + 4x + 3xy + 6y

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Mathematics

1 answer:

koban [17] · Answer 1 · 2023-08-21T05:05:17+03:00

The completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

<h3>How to factor the polynomial?</h3>

The expression is given as:

2x^2 + 4x + 3xy + 6y

Group the expression into two

[2x^2 + 4x] + [3xy + 6y]

Factor out each group

2x(x + 2) + 3y(x + 2)

Factor out x + 2

(2x + 3y)(x + 2)

Hence, the completely factored expression of 2x^2 + 4x + 3xy + 6y is (2x + 3y)(x + 2)

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