Determine if the expression minus, 7, c, to the power minus 4 , d, to the power 4−7c −4 d 4 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Question
Determine if the expression minus, 7, c, to the power minus 4 , d, to the power 4−7c −4 d 4 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Solution
The expression you provided 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 your expression, you have a negative exponent (-4), which is not allowed in polynomials. Therefore, the expression is not a polynomial.
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