Question

10. Factorise the following trinomials:
(i) 15x ^ 2 + x - 6
(ii) 3 sqrt(2) * x ^ 2 - 5x + sqrt(2)​

Answer 1

Answer:

i) x=3/5 x=-2/3

$15 {x}^{2} + x - 6 \\ 15 {x}^{2} + 10x -9 x - 6 \\ 5x(3x + 2) - 3(3x + 2) \\ (5x - 3)(3x + 2) \\ x = \frac{3}{5} \: x = - \frac{ 2}{3}$

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Answer 2

Answer:

15x² + x - 6 = 0

15x² + x= 6

x² + x = 6-15

x² + x = -9

(3)² * x² - 5x + (2)² = 0

9 * x² - 5x + 4= 0