Question

Factorization of the polynomial $11x^2-10\sqrt{3}x-3$ gives ____________.

Answer 1

$$\begin{gathered} 11x^2-10\sqrt{3}x-3 \\ =11x^2-11\sqrt{3}x+\sqrt{3}x-3 \\ =11x\left(x-\sqrt{3}\right)+\sqrt{3}\left(x-\sqrt{3}\right) \\ =\left(11x+\sqrt{3}\right)\left(x-\sqrt{3}\right) \end{gathered}$$

Hence, factorization of the polynomial $11x^2-10\sqrt{3}x-3$ gives $\underline{\left(11x+\sqrt{3}\right)\left(x-\sqrt{3}\right)}$.