why y square + root 2 is polynomials
Answers
What is a polynomial?
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.
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Because it has one variable which is y².
(If y was √y then it will not be polinomial because the variable is not a whole number)