Ineed !

which statement is true of x2 + 8x – 6?

(x – 2) is a factor of the polynomial.
(x + 2) is a factor of the polynomial.
(x – 4) is a factor of the polynomial.
the polynomial is prime.

The correct option is

The polynomial is prime.

Step-by-step explanation:

we have to select the true statement for the equation

As, we know if is a positive perfect square integer, then the trinomial can be factored over the rational numbers. Otherwise, we cannot factor over the rational numbers,

so the trinomial is considered to be prime.

Equation:

a=1, b=8 and c=-6

which is not a perfect square integer.

Hence, the above trinomial can not be factored into lowe degree.

⇒ Given polynomial is prime.

hence, option 4 is correct.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950