Question

If 1 a zero of polynomials p(x) = a$x^{2}$ - 3(a-1)  x-1,then find a

Answer 1

P(x)=ax²-3(a-1)x-1
we know P(1)=0
a (1)²-3(a-1)·1-1=0
a-3(a-1)-1=0
a-3a+3-1=0
-2a+2=0
-2a=-2
a=1