Pawan Prajapati
Last Activity: 4 Years ago
(i) p(-i) = 3 )( (-i) + 1 .. - 1 + 1= 0
Hence, % = - iis a zero of the polynomial p(z).
(ii) p (-) = 5 )( :- 1t = 4 - 1t 0
Hence, z = iis not a zero of the polynomial p(%),
(iii) p(l) = 1- 1c 0 and p(- 1) = 1- 1= 0
Hence, z = 1 and % = - 1 are zeroes of the polynomial p(%).
(iv) p(- 1) = (-1 + lX- 1- 2) = o and p(2)
= (2 + 1) (2 - 2) = 0
Hence, z = - 1 and z = 2 are zeroes of the polynomial p(%).
(v) p(O) = 0. Hence, z = 0 is a zero of the polynomial
/h).
(vi) p (- 7) ;a l •(- 7) + m = - m + m = 0
Hence, % = - 7 is a zero of the polynomial p(%). (ui.i) p (- }a) = 3 )( i- 1c: 1- 1 = 0
and p (rs) = 3 x :- 1 • 4 - 1= 3 O
30
Hence, x = - .J3 is a zero and z • .J3
of the polynomial p(.%).
(uiii) p (i) = 2 >< + 1 = l + 1 = 2 0
is not a zero
Hence, z = iis not a zero of the polynomial p(x).