Answer:
The correct option is
The polynomial is prime.
Step-by-step explanation:
we have to select the true statement for the equation
[tex]x^2+8x-6[/tex]
As, we know if [tex]b^2-4ac[/tex] is a positive perfect square integer, then the trinomial can be factored over the rational numbers. Otherwise, we cannot factor [tex]ax^2 + bx + c[/tex] over the rational numbers,
so the trinomial is considered to be prime.
Equation: [tex]x^2+8x-6[/tex]
a=1, b=8 and c=-6
[tex]b^2-4ac=8^2-4(1)(-6)=64+24=88[/tex]
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.
