## Pages

### Can the Product of Two Polynomials Result in a Single Term?

By assuming that we are talking about polynomials with real coefficients. Suppose that the polynomials are,



Where . . .
• a, b, c, d 0
• $p>q\ge 0$ and r > s ≥ 0
• p + r > q + s
• Of course, the terms omitted between have intermediate degree.
Then, the productQ has at least two terms: acxp+r and bdxq+s. Where ac and bd are not zero.

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