Question

$2 \sqrt{3} x { }^{2} - 5x + \sqrt{3}$
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Answer 1

The factors of $2\sqrt{3}x^{2}-5x+\sqrt{3}$ are $(\sqrt{3}x-1)(2x+\sqrt{3})$.

Step-by-step explanation:

The expression is:

$2\sqrt{3}x^{2}-5x+\sqrt{3}$

Factorize the expression as follows:

$2\sqrt{3}x^{2}-5x+\sqrt{3}=2\sqrt{3}x^{2}-3x-2x+\sqrt{3}$

                            $=\sqrt{3}x(2x-\sqrt{3})-1(2x+\sqrt{3})\\=(\sqrt{3}x-1)(2x+\sqrt{3})$

Thus, the factors of $2\sqrt{3}x^{2}-5x+\sqrt{3}$ are $(\sqrt{3}x-1)(2x+\sqrt{3})$.