factorise 1/2x²-2x+3
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Answer:
8x³ - 36x² + 22x + 21 = (2x + 1)(2x -3)(2x - 7)
x = -1/2
x = 3/2
x = 7/2
Step-by-step explanation:
8x³ - 36x² + 22x + 21
= 8x³ + 4x² - 40x² + 22x + 21
= 8x³ - 4x² - 40x² - 20x + 42x + 21
= 4x²(2x + 1) - 20x(2x + 1) + 21(2x + 1)
= (4x² - 20x + 21)(2x + 1)
= (2x +1) (4x² - 20x + 21)
= (2x + 1) ( 4x² - 6x - 14x + 21)
= (2x + 1) ( 2x(2x - 3) - 7(2x -3))
= (2x + 1)(2x -3)(2x - 7)
8x³ - 36x² + 22x + 21 = (2x + 1)(2x -3)(2x - 7)
x = -1/2
x = 3/2
x = 7/2
Step-by-step explanation:
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