Which polynomial is prime?
A. 4x^2 - 17x + 15
B. 4x^2 + 13x
C. 8x^2 + 7x - 16
D. x^2 - 4

Question

Which polynomial is prime?
	A.	4x^2 - 17x + 15
	B.	4x^2 + 13x
	C.	8x^2 + 7x - 16
	D.	x^2 - 4

jhonyy9 · Answer

(x-2)(x+2)

turingtest · Answer

Hi meow!

anonymous · Answer

hi !!!!!

anonymous · Answer

So I'm really confused on this.. how does (x-2)(x+2) come into the picture for this equation?

turingtest · Answer

jhonyy factored the last expression
x^2 - 4=(x+2)(x-2)
because we can always factor
a^2-b^2=(a-b)(a+b)
that is called difference of squares.
The answer to you question, however, is C, because that polynomial is not factorable, so it is prime.

anonymous · Answer

Oh! Alright because I was just super confused at first and I'm like... hm... lol. How was your New Year's?

turingtest · Answer

jolly, yours?

anonymous · Answer

It was great! Got my hair re-done over the weekend!

turingtest · Answer

Looks great!
well ,here's the idea of what you are doing
factor each answer:
4x^2 - 17x + 15=(x-3)(4x-5)
4x^2 + 13x=x(4x+13)
8x^2 + 7x - 16=NOT FACTORABLE (not traditionally at least)
x^2 - 4=(x+2)(x-2)
since the third one is the only one we can't factor at all, the answer is C
See ya 'round!

anonymous · Answer

Thank you! (: And thanks for the help! (: You are awesome, just saying! See you around too! (: