Question

Which polynomials are prime? Check all that apply. X2 4 x2 – 5x 2 x2 10x – 24 x2 – x 27 2x3 – 4x 5x2 – 10.

Answer 1

If the polynomial is having only two factors then the polynomial is a prime polynomial that is shown below.

$\rm x^{2} +4\\\\ x^{2} -5x +2\\\\ x^{2} -x + 27 \\\\2x^{3} -4x + 5$

What is a prime polynomial?

The polynomial that has only two factors is known as a prime polynomial.

The polynomials are

$\rm 1. \ \ x^{2} +4\\\\2. \ \ x^{2} -5x +2\\\\3. \ \ x^{2} +10x -24 \\\\4. \ \ x^{2} -x + 27 \\\\5.\ \ 2x^{3} -4x + 5\\\\6. \ \ 5x^{2} - 10$

The factor of the given polynomial will be

1.  $\rm x^{2} + 4$ is a prime factor. Because it has only two factors.

2.  $\rm x^{2} -5x + 2$ is a prime factor. Because it has only two factors.

3.  $\rm x^2 + 10 x - 24$ is not a prime factor. Because it has more than two factors.

4.  $\rm x^2 - x + 27$ is a prime factor. Because it has only two factors.

5.  $\rm 2x^3 - 4x + 5$ is a prime factor. Because it has only two factors.

6.  $\rm 5x^2 - 10$ is not a prime factor. Because it has more than two factors.

More about the prime polynomial link is given below.

brainly.com/question/17490039