Question

HELP! PLZ I NEED THIS ASAP

Answer 1

`2x^(4)+x^(3)-x+2`

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.