Question

Find all rational zeros of the polynomial
P(x)=x^4-3x^3-2x^2-6x-8
Enter the rational zeros in a comma separated list.

Answer 1

Are you sure this is the exact question and all the signs are correct?

Answer 2

Unfortunately Yes

Answer 3

I think I got it:
f(x)=0= x^4-3x^3-2x^2-6x-8
Factor by grouping:
(x^4-2x^2-8)-(3x^3-6x) = 0

Answer 4

Missed a sign:
x^4-2x^2-8)-(3x^3+6x) = 0

Answer 5

Try to factor this and tell me what you get

Answer 6

Are you there?

Answer 7

Im here @philo1234

Answer 8

Ok try to factor the last expression by grouping that I gave. and tell me what you got

Answer 9

(x^4-2x^2-8)-(3x^3+6x) = 0

Answer 10

(x+1)(x-4)(x^2+2)

Answer 11

There it is. good job.

Answer 12

so 1, 4 and sqrt 2 is the answers

Answer 13

\[-1,4, \pm i \sqrt{2}\]