Question

Which polynomial is prime?

x3 + 49

x3 – 1000


x3 + 1

x3 – 64

Answer 1

I think its C

Answer 2

actually you can use the sum of cubes factoring rule to factor x^3 + 1 to get (x+1)(x^2 - x + 1)

Answer 3

sum of cubes factoring rule

a^3 + b^3 = (a+b)(a^2 - ab + b^2)

Answer 4

in the case of x^3 + 1= (x+1)(x^2 - x + 1), we have a = x and b = 1

Answer 5

So am I correct? If not dont tell me ill figure it out

Answer 6

nope, you are wrong !

Answer 7

the polynomial is prime which can't be factored out

Answer 8

@hippo211 since i was able to factor x^3 + 1 to get (x+1)(x^2 - x + 1), that means x^3+1 is NOT prime

you only say something is prime if you cannot factor

Answer 9

correct ^^^

Answer 10

@hippo211 any problem ?

Answer 11

thank you