Wgat is the factor of y^5+10-9x

When x = 0 y = 0 so the graph has an intercept at the origin (0, 0)

let x^5 + 10x - 9x = 0

x^5 + x = 0

x (x^4 + 1) = 0

x^4 = - 1 so there are no other real roots

There is only 1 intercept at (0, 0) answer