Determine whether the given value of x is a zero of the given polynomial ornot: 2x ²- 6x + 3; x = ½ .

Let P(x) = 2x ² - 6x + 3
If x = ½ is a zero of the polynomial P(x), then it must satisfy P(½) = 0.

So, on putting x = ½ in the above equation, we get:

P (½) = 2(½) ² - 6(½) + 3

= 2(1/4) - 3 + 3

= ½ ¹ 0.

Therefore the given value of x is not a zero of the given polynomial.