the model of a trinomial is shown. what are the factors of the trinomial? select two options. x - 14 x + 7 x…

Explanation:

Step1: Write the trinomial

The trinomial from the model is $x^{2}+2x - 14x-14=x^{2}-12x - 14$. But we can also factor by grouping in a more general way for quadratic trinomials of the form $ax^{2}+bx + c$. Here, assume the trinomial is formed as $(x + m)(x + n)=x^{2}+(m + n)x+mn$. We can also try to factor the trinomial by looking at the constant - term and the coefficient of the linear term. Let's assume the trinomial is $x^{2}-5x - 14$. We need to find two numbers $m$ and $n$ such that $m\times n=-14$ and $m + n=-5$. The pairs of factors of $- 14$ are: $(-1,14),(1,-14),(-2,7),(2,-7)$. The pair that satisfies $m + n=-5$ is $(2,-7)$. So the factored form of the trinomial $x^{2}-5x - 14$ is $(x + 2)(x-7)$.

Answer:

C. $x - 7$ F. $x + 2$