Determine if the expression minus, start fraction, y, divided by, z, end fraction− zy is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Question
Determine if the expression minus, start fraction, y, divided by, z, end fraction− zy is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Solution
The expression given is not a polynomial. A polynomial is an algebraic expression consisting of variables and coefficients, using only the operations of addition, subtraction, multiplication, and non-negative integer exponents. In the expression -y/z, we have a division operation of a variable, which is not allowed in polynomials. Therefore, it is not a polynomial.
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