[tex]a)2 {x}^{2} + 3x - 2 = \frac{4 {x}^{2} + 3(2x) - 4 }{2} \\ \\ = \frac{(2x + 4)(2x - 1)}{2} \\ \\ = (x + 2)(2x - 1) [/tex]
[tex]d)3 {x }^{2} - 5x - 2 = \frac{9 {x}^{2} - 5(3x) - 6 }{3} \\ \\ = \frac{(3x - 6)(3x + 1)}{3} \\ \\ = (x - 2)(3x + 1)[/tex]
[tex]g)6 {x}^{2} + 7x + 2 = \frac{36 {x}^{2} + 7(6x) + 12}{6} \\ \\ = \frac{(6x + 4)(6x + 3)}{3 \times 2} \\ \\ = (3x + 2)(2x + 1)[/tex]
[tex]b)5 {x}^{2} + 13x - 6 = \frac{25 {x}^{2} + 13(5x) - 30 }{5} \\ \\ = \frac{(5x + 15)(5x - 2)}{5} \\ \\ = (x + 3)(5x - 2)[/tex]
[tex]e)6 {x}^{2} \times 5 {x}^{6} = (6 \times 5) {x}^{6 + 2} \\ = 30 {x}^{8} [/tex]
[tex]h) 12 {x}^{2} - x - 6 = \frac{144 {x}^{2} - 1(12x) - 72}{12} \\ \\ = \frac{(12x - 9)(12 x+ 8)}{3 \times 4} \\ \\ = (4x - 3)(3x + 2)[/tex]
