Question

fine the zero of polynomial 3x²-2x-1​

Answer 1

       $\text{\huge \underline{Answer:}}$

       $\text{The given equation is }3x^{2} - 2x - 1 = 0$

       $\text{Applying the splitting middle term method}$

       $\text{We can write }(-2x) \text{ as }(-3x + x)$

$\implies 3x^{2} - 3x + x - 1 = 0$

$\implies 3x(x-1)+1(x-1) = 0$

$\implies (x-1)(3x+1) = 0$

$\implies x-1 = 0 \text{ or }3x + 1 = 0$

$\implies \boxed{\boxed{x = 1 \text{ or }x = -\dfrac{1}{3}}}$