Question

If 1 is a zero of the polynomial, P(X) = x²k²-3xk+ 3x-1, then the value of k is​

Answer 1

Step-by-step explanation:

If 1 is the zero of the polynomial f(x)=a

2

x

2

−3ax+3x−1

Then, f(x)=0

=>a

2

(1)

2

−3a(1)+3(1)−1=0

=>a

2

−3a+3−1=0

=>a

2

−3a+2=0

=>a

2

−2a−a+2=0

=>a(a−2)−1(a−2)=0

=>(a−2)(a−1)=0

a=2