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secondary 3 | A Maths
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… long division is required only when numerator degree is higher, or equal, to denominator degree.
See 1 Answer
therefore long division not required.
… factorise denominator, then decompose.
by substituting x=0, we get (-6/5) on both sides, therefore our answer is quite likely to be correct.
note that …
… if both side give same results,
answer is QUITE LIKELY to be correct.
… if both side give different results,
answer FOR SURE is incorrect.
to overcome the possibility that sometimes, by coincidence, both sides may give same result even when answer is incorrect, we can check by substituting with several different values of x.