List all possible rational zeros of each function.

f(x)=4x^5+4x^2-9

Find all rational roots of each function

f(x)=2x^3+x^2+8x+4

1 answer

second:
x^2(2x+1)+4(2x+1)

(2x+1)(x^2+4)
(2x+1)(x+j)(x-j)

so if the expression were equal zero, then
zeroes are -1/2, -j,+j where j= sqrt(-1)
so the only rational root is -1/2