Which statement correctly classifies the rational function ?

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Which statement correctly classifies the rational function x3+2x2+5x2−1\dfrac{x^{3}+2x^{2}+5}{x^{2}-1}? (a) Proper because deg⁡P(x)<deg⁡Q(x)\deg P(x)<\deg Q(x) (b) Proper because deg⁡P(x)=deg⁡Q(x)\deg P(x)=\deg Q(x) (c) Improper because deg⁡P(x)>deg⁡Q(x)\deg P(x)>\deg Q(x) (d) Proper because deg⁡P(x)>deg⁡Q(x)\deg P(x)>\deg Q(x)

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