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NSWMaths Extension 1Quick questions

Year 11: Polynomials

Quick questions on The language of polynomials: degree, leading term, monic, sums and products, and equating coefficients

1short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is the zero polynomial?
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The constant polynomial a0a_0 has degree 00 as long as a00a_0 \ne 0. The single exception is the zero polynomial Z(x)=0Z(x) = 0. It has every coefficient equal to zero, so it has no leading term, and therefore it has no degree at all. It is not "degree 00"; it is the one polynomial with no degree.

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