Question

Which expression is prime? A) x2 - 6x + 9 B) x2 + 16x + 64 C) 4x2 + 20x + 25 D) 9x2 - 30x - 25

Answer 1

D is a prime polynomial. 

The best way to figure this out is by attempting to factor them all. Each of them factors into perfect squares except for D. 

A)
x^2 - 6x + 9 = (x - 3)^2

B) 
x^2 + 16x + 64 = (x + 8)^2

C)
4x^2 + 20x + 25 = (2x + 5)^2

D we can also tell won't have a perfect square like that because it ends in a negative number. No number multiplied by itself is negative. 

Answer 2

Answer:

The answer is $9x^{2} - 30x - 25$.

Step-by-step explanation: