Question

The trinomial 2x2 13x 6 has a linear factor of x 6. 2x2 13x 6 = (x 6)(?) what is the other linear factor? x 3 x 6 2x 1 2x 3

Answer 1

The Trinomial $\rm 2x^{2} +13x+6$ has a linear factor $\rm (x+6)$ and the other linear factor is $\rm (2x+1)$.

The Trinomial $\rm 2x^{2} +13x+6$ has a linear factor $\rm (x+6)$. we need to find another linear factor say X.

$\rm 2x^{2} +13x+6 = \rm (x+6)(X)$

what is a linear factor?

The linear factor of the polynomial is the first-degree polynomial equations represented as $\rm ax+b$ and cannot be factored further.

So, the other factor X can be calculated as,

$\rm 2x^{2} +13x+6 = \rm (x+6)(X)\\\rm 2x^{2} +13x+6\div \rm (x+6)=X\\\rm (x+6)\times \rm (2x+1)\div \rm (x+6)=X\\X=\rm (2x+1)$

Therefore, The Trinomial $\rm 2x^{2} +13x+6$ has a linear factor $\rm (x+6)$ and the other linear factor is $\rm (2x+1)$.

learn more about the factorization of polynomials here;

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