Factorization of 11x² − 10√3x − 3
Factorization of the polynomial \[ 11x^2 – 10\sqrt{3}x – 3 \] gives __________
Solution
\[ 11x^2 – 10\sqrt{3}x – 3 \]
\[ =11x^2-11\sqrt{3}x+\sqrt{3}x-3 \]
\[ =11x(x-\sqrt{3})+\sqrt{3}(x-\sqrt{3}) \]
\[ =(x-\sqrt{3})(11x+\sqrt{3}) \]
\[ \boxed{(x-\sqrt{3})(11x+\sqrt{3})} \]