Question

Select the correct answer. Which expression is a prime polynomial?

A.

`{x}^(3) - {b}^(3)`
B.

`{x}^(2) - 4x - 12`
C.

`{x}^(4) + 8x {y}^(3)`
D.

`{x}^(2) - {b}^(3)`
​

Answer 1

Explanation:

"Prime" means that it cannot be factored

A can be factored (its a formula that you memorize)

B can be factored it equals (x - 6)(x + 2)

C can be factor by pulling out the common factor

x(x^3 + 8y^3)

D CANNOT be factored.

Answer the prime polynomial is x^2 - b^3