Question

if k is constant, then prove that (2/root k) is a polynomial in x​

Answer 1

SOLUTION

TO PROVE

If k is constant, then ( 2 /√k ) is a polynomial in x

CONCEPT TO BE IMPLEMENTED

POLYNOMIAL

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

EVALUATION

Here it is given that k is constant

Without any loss of generality we assume that k ≠ 0

Then 2 /√k is a mathematical expression

Now

$\displaystyle \sf{ \frac{2}{ \sqrt{k} } = \frac{2}{ \sqrt{k} } \: {x}^{0} }$

Thus 2 /√k is a mathematical expression consisting of variables, constants with whole number exponentiation of variables

So 2/√k is a polynomial

Hence proved

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