If 1 is the zero of polynomial p (x) x2a - 3xa+3x2-1 find the value of a

The value of a can be obtained by substituting 1 to the equation and equating p (1) = 0.

p (x) = x2a - 3xa + 3x2 - 1

p (1) = a - 3a + 3 - 1 = 0

therefore a = 1

the equation now becomes p (x) = x2 - 3x + 3x2 - 1