Pena Cross
02/09/2023 · High School
Tell whether the expression is a polynomial. If it is, give its degree. 1) \( -4 y^{5}-\sqrt{3} \)
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Step-by-step Solution
To determine if the expression is a polynomial and to find its degree, we need to check if the expression consists only of variables raised to non-negative integer powers and if it is a sum of such terms.
The expression given is:
\[ -4y^{5} - \sqrt{3} \]
Let's break it down:
1. The term \(-4y^{5}\) is a polynomial term because it consists of a variable \(y\) raised to a non-negative integer power (5) and a coefficient (-4), which is a real number.
2. The term \(-\sqrt{3}\) is not a polynomial term because it contains a square root, which is not a non-negative integer power of a variable.
Since the expression contains a term that is not a polynomial, the entire expression is not a polynomial.
Therefore, the expression \( -4y^{5} - \sqrt{3} \) is not a polynomial.
Quick Answer
The expression \( -4y^{5} - \sqrt{3} \) is not a polynomial.
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