Chapter 8.6, Problem 6CYU

To determine

To factor: The polynomial $6x^2-x-14$ , if possible. If the polynomial cannot be factored using integers write prime.

Answer to Problem 6CYU

Prime

Explanation of Solution

Given:

  $6x^2-x-14$

Calculation:

The given polynomial is $6x^2-x-14$

This is a quadratic expression with $a=6,b=-1,c=-14$

Here, $ac=-84$ . So, in order to factor the polynomial chose the factor of $-84$ whose sum/difference is equal to b .

There is no such factor whose sum/difference gives b .

Therefore, the polynomial cannot be factored and hence it is a prime polynomial.