Determine the number of zeros of the polynomial function.
f(x) = x4 - x7
zero(s)

Step-by-step explanation:

it is of 7 degree so number of zeros is 7

f(x)=x^4-x^7=x^4(1-x³)=x^4(1-x)(1+x+x²)

x^4=0,gives x=0,0,0,0

so four zeros are repeated.

So x=0 is repeated four times.

1-x=0,gives 1-x=0,x=1

1+x+x²=0

x²+x+1/4=-1+1/4=-3/4

(x+1/2)²=-3/4==((√3) \iota/2)²

x+1/2=±(√3\iota)/2

x=-1/2±(\iota√3)/2

you forgot an image

step-by-step explanation: