SOLUTION: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = x^4 −

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P(x) = x^4 −       Log On


   

Question 1200925: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = x^4 − 2x^3 − 8x^2 + 18x − 9
x =
Write the polynomial in factored form.
P(x) =
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

Having given that all the zeroes are integer, and due to the rational roots theorem,
we should check only the divisors of 9: 1, 3, 9, -1, -3, -9.

You can do it on your own.


As soon as you will get 4 zeroes, you can stop your search.