4

Part of 2012 ISI Entrance Examination

Problems(1)

x^8-x^7+x^2-x+15

Source: Isi 2012 #4

Prove that the polynomial equation

x^{8}-x^{7}+x^{2}-x+15=0

has no real solution.

algebrapolynomialinequalitiesquadraticsalgebra unsolved