Question

HELP! PLZ I NEED THIS ASAP

Answer 1

Answer:

$2x^{4}+x^{3}-x+2$

Step-by-step explanation:

To find which one is prime, let's try to factor them all. We can use the factoring by grouping method.

$x^{3}+3x^{2}-2x-6$

$x^{3}+3x^{2}$and$-2x-6$

$x^{2}(x+3)$and$-2(x+3)$

So this one is not prime, since you can still factor it.

$x^{3}+2x^{2}-3x-6$

$x^{3}+2x^{2}$and$-3x-6$

$x^{2}(x-2)$and$3(x-2)$

So this one is not prime, since you can still factor it.

$4x^{4}+4x^{2}-2x-2$

$4x^{4}+4x^{2}$and$-2x-2$

$4x^{3}(x+1)$and$-2(x+1)$

So this one is not prime, since you can still factor it.

$2x^{4}+x^{3}-x+2$

$2x^{4}+x^{3}$and$-x+2$

$x^{3}(2x+1)$and -x+2 cannot be further factored.

Therefore, $2x^{4}+x^{3}-x+2$ is a prime.