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To determine the other linear factor, we just have to divide the given polynomial with the factor. We use the synthetic division, for example. 
                         (2x² + 13x+ 6) ÷ ( x + 6)
 
                       2          13               6 / -6
                       0         -12               -6
                        2           1                0
Therefore, the other factor is 2x + 1. 
ankitprmr2

The other factor of the trinomial is (2x+1).

The trinomial [tex]2x^2 + 13x + 6[/tex] has a linear factor of x + 6.

We need to determine the other factor of the given quadratic equation.

Let us take the given quadratic expression and factorize it into factors. For factorization of the trinomial, we need to split the middle term.

Therefore,

[tex]\begin{aligned}2x^2 + 13x + 6&=2x^2+(12+1)x+6\\&=2x^2+12x+x+6\\&=2x(x+6)+1(x+6)\\&=(2x+1)(x+6)\end{aligned}[/tex]

Thus, the other factor of the trinomial is (2x+1).

To know more about the trinomial, please refer to the link:

https://brainly.com/question/16347049

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