Question

find all reational zeros of polynomial
p(x) = 5x^4+24x^3=10x^2-24x+5

Then find irrational zeros if any.

Answer 1

why are there two equals signs in the expression you posted?

Answer 2

I think it is a minus...

Rational roots theorem says possible roots are

plus minus factors of 5/5 ie 5 or 1/5, 1 and the negatives of these.

1 and -1 both work, factor them out and u will have a quadratic.

(Actually, -5 and 1/5 work as well, so now u have all four)