Question

x2+√x+2 is a quadratic polynomial or not ?​

Answer 1

It is a quadratic polynomial

Answer 2

SOLUTION

TO CHECK

x² + √x + 2 is a quadratic polynomial or not

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

DEGREE OF A POLYNOMIAL

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

EVALUATION

Here the given mathematical expression is

x² + √x + 2

So the variable is x

We know that 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

Thus we see that in √x there is no whole number exponentiation of variables

So the mathematical expression is not a polynomial

Hence x² + √x + 2 is not a quadratic polynomial

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