Is the following expression a multivariable polynomial? If not, explain why:
x + xy – y
No. We're not allowed to divide by a variable in a polynomial.
πx2 + 3.4xy4 + x2y5 – 11
x + y + 9(-1)
Yes. In a polynomial, we are allowed to raise constants to negative exponents. It just gets us different constants, which we can live with.
5xy – y7 + x - 4y4
No. We're not allowed to raise variables to negative exponents in polynomials.
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