The trinomial 2x^2 + 13x + 6 has a linear factor of x + 6. 2x^2 + 13x + 6 = (x + 6)(?) What is the other linear factor?

asked Apr 22, 2021 120k views

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The trinomial 2x^2 + 13x + 6 has a linear factor of x + 6.

2x^2 + 13x + 6 = (x + 6)(?)

What is the other linear factor?

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Answer:

$2 {x}^(2) + 13x + 6 \\ 2 {x}^(2) + 12x + 1x + 6 \\ 2x(x + 6) + 1(x + 6) \\ (2x + 1)(x + 6)$

so the other linear factor is,

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