Question

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 a x squared b x c. 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

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,

$ax^2+bx+c$

The given polynomial in the problem is,

$x^2 +8x - 6$

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;

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