why isn't y² + √2 a polynomial
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y² + √2 a polynomial and is called as one variable polynomial, as the only coefficient of y² is present.
- We know that a polynomial is the sum of the multiplications of coefficients and variables and can be expressed as
- a₀ yⁿ + a₁ yⁿ⁻¹ + . . . + a_n
- where a₀, a₁, . . . , a_n are real coefficients
- From given, we have, y² + √2 and can be expressed as,
- 1(y²) + 0 (y) + √2
- and this is in the form of a polynomial as mentioned above.
- Therefore, the given expression is a polynomial
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