# Math Help - Anybody here good with theory?

1. ## Anybody here good with theory?

Explain why :

P(x) = x^50 - 5x^25 + x^2 - 1

has no rational zeros. Use theory!

2. Originally Posted by needhelp75
Explain why :

P(x) = x^50 - 5x^25 + x^2 - 1

has no rational zeros. Use theory!
The rational root theorem tell us that is this has a rational root it is of the form a/b where a is a divisor of the constant term and b a divisor of the coefficient of the highest power of the variable. So in this case all the rational roots (of any) are +1 or -1.

Check if these are roots, if not this has no rational roots.

CB

3. Look into the Rational Root theorem. The possible candidates for real roots are 1 and -1 (why?)

Does 1 or -1 satisfy the equation $x^{50}-5x^{25}+x^{2}-1=0$?.