Why is 1÷y-1
not a polynomial? Give reason.
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Step-by-step explanation:
Polynomials are always continuous, but p(y)=1/(y−1)p(y)=1/(y−1) isn’t continuous at y=1.y=1.
Polynomials are always continuous, but p(y)=1/(y−1)p(y)=1/(y−1) isn’t continuous at y=1.y=1.Alternatively, if p(y)p(y) was a polynomial of degree nn then (y−1)p(y)(y−1)p(y) is a polynomial of degree (n+1).(n+1). But (y−1)p(y)=1(y−1)p(y)=1, a contradiction.
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