Question

Which expression is a prime polynomial?

A. 13 - 27y^6
B. 3x^2 + 18y
C. 10r^4 - 513 + 70x^2 + 3r
D. 4 + 2002 - 100

Answer 1

The expression 13 - 27y^6 is a prime polynomial because it cannot be factored any further.

Step-by-step explanation:

In this question, we are asked to identify which expression is a prime polynomial. A prime polynomial is a polynomial that cannot be factored further. To determine which expression is prime, we need to check if it can be factored into smaller polynomials.

Let's go through each expression:

A. 13 - 27y6: This expression cannot be factored any further, so it is a prime polynomial.

B. 3x2 + 18y: This expression can be factored as 3(x2 + 6y), so it is not prime.

C. 10r4 - 513 + 70x2 + 3r: This expression can be factored as 10(r4 + 7x2) + (3r - 513), so it is not prime.

D. 4 + 2002 - 100: This expression can be simplified to 1906, so it is not prime.

Therefore, the correct answer is A. 13 - 27y6, which is a prime polynomial.