Respuesta :
The polynomial is prime because the provided polynomial can not be factored shown in the X-method chart.
What is X method?
X-method is the method to find the factors of the polynomial equation.
An x-method chart shows the product a c at the top of x and b at the bottom of x.
Above the chart is the expression,
[tex]ax^2+bx+c[/tex]
The given polynomial in the problem is,
[tex]x^2 +8x - 6[/tex]
Let's check if the factors of polynomial. To find the factor, we need, to find the two number whose sum or different is 8 and the product is 6 (6 × 1).
As there is no number which gives has the sum or different is 8 and the product is 6 (6 × 1). Thus, the above polynomial can not be factored. Thus this polynomial is prime.
Thus, the polynomial is prime because the provided polynomial can not be factored, shown in the X-method chart.
Learn more about the X method here;
https://brainly.com/question/24379507
