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Maths question about partial fraction.

Hi! Bit confused to why there is a one in these questions (circled in red). Is there a rule about it or a pattern/procedure I need to follow? Will upload...
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To use partial fractions, you need the degree of the numerator to be smaller than that of the denominator. That isn't the case with these ones, they are improper algebraic fractions. If you use algebraic division, you'll get the 1 (it's not always 1, depends on the fraction) and then you can use partial fractions on the remainder.

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