Chapter 8.6, Problem 9CYU

To determine

To factor: The polynomial $5x^2-3x+4$ , if possible. If the polynomial cannot be factored using integers write prime.

Answer to Problem 9CYU

Prime

Explanation of Solution

Given:

  $5x^2-3x+4$

Calculation:

The given polynomial is $5x^2-3x+4$

This is a quadratic expression with $a=5,b=-3,c=4$

Here, $ac=20$ . So, in order to factor the polynomial chose the factor of $20$ 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.