z^(3)+8z^(2)+17z+10

If z= -3 + sqrt2i , then prove that z^(4) + 5z^(3) + 8z^(2) + 7z + 4 is equal to -29

If z = 2 + i, prove that z^(3) + 3z^(2) - 9z + 8 = (1 + 14i) .

Subtract : 3z^(2)-2z^(2)+7z -8 from 8-z-z^(2)

If z=3-2i then show that z^(2)-6z+13=0 Hence find the value of z^(4)-4z^(3)+6z^(2)-4z+17

Factorize 9z^(3)-27z^(2)-100z+300; if it is given that (3z+10) is a factor it.

If z=3-5i , then show that z^(3)-10z^(2)+58z-136=0

If z=3-5i , then show that z^(3)-10z^(2)+58z-136=0

Factorize 9z^(3)-27z^(2)-100z+300, if it is given that (3z+10) is a factor of it.

If z=3-5i Show that z^(3)-10z^(2)+58z-136=0

Number of values of z (real or complex) simultaneously satisfying the system of equations 1+z+z^(2)+z^(3)++z^(17)=0 and 1+z+z^(2)+z^(3)++z^(13)=0 is