Question

factorise 6 X square + 17 X + 12​

Answer 1

$6 {x}^{2} + 17x + 12 \\ 6 {x}^{2} + 8x +9x + 12 \\ 2x(3x + 4) + 3(3x + 4) \\ (3x + 4)(2x + 3)$
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Answer 2

Answer:

6x {}^{2} + 17x + 12 = 6x {}^{2} + (8 + 9)x + 12 = 6x {}^{2} + 8x + 9x + 12 = 2x(3x + 4) + 3(3x + 4) = (2x + 3)(3x + 4)

Therefore the answer is (2x+3)(3x+4) .