Question

y square +√2
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Answer 1

Y^2+square root 2
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Answer 2

Answer:

Step-by-step explanation:

In general words, a polynomial is the sum of the multiplications of coefficients (real numbers) and variables (like x, y) of some non - zero integral powers. It can be expressed as

   a₀ xⁿ + a₁ xⁿ⁻¹ + . . . + aₙ ...(1)

where a₀, a₁, . . . , aₙ are real coefficients

Solution :

   We know that, √2 is a rational number as well as it is real number.

The given expression is (y² + √2), which in general can be written as

  ( 1 × y² ) + ( 0 × y ) + a, where a = √2

and this is in the form of the above polynomial (1)

Therefore, the given expression is a polynomial.

Note :

   The highest power of the variable present in a polynomial is called the order of the polynomial. In the given problem, the order of the polynomial is 2.