Answer :

TPS
2x² + 15x -27
= 2x² + 18x - 3x -27
= 2x(x+9) -3(x+9)
= (x+9)(2x-3)

5x² + 22x + 8 
= 5x² + 20x + 2x + 8
= 5x(x+4) + 2(x+4)
= (x+4)(5x+2)

6x² - 5x + 1
= 6x² - 3x -2x + 1
= 3x(2x-1) -1(2x-1)
= (2x-1)(3x-1)
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