Question

I need help please!

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.

Answer 1

D..........

Explanation:

rgW

Answer 2

The correct option is

The polynomial is prime.

Explanation:

we have to select the true statement for the equation

`x^2+8x-6`

As, we know if
`b^2-4ac` is a positive perfect square integer, then the trinomial can be factored over the rational numbers. Otherwise, we cannot factor
`ax^2 + bx + c` over the rational numbers,

so the trinomial is considered to be prime.

Equation:
`x^2+8x-6`

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

`b^2-4ac=8^2-4(1)(-6)=64+24=88`

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.