Answer:
2x - 3
Step-by-step explanation:
2x² - 7x + 6 / x - 2
Factorise the numerator(quadratic expression).
2x² -7x + 6
Find the factor of (2×6= 12 ) that add up to give -7 , the coefficient of x.
Factors = -4 and -3
Rewrite the equation
2x² -4x -3x + 6
2x(x - 2) -3(x -2)
( 2x - 3)(x - 2)
Therefore the expression would be
(2x -3)(x-2) / (x-2)
(x-2) divides (x-2) to give
= 2x - 3
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