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Instructions: Determine if the given expression represents a polynomial expression.

Instructions: Determine if the given expression represents a polynomial expression-example-1
User Malik Bagwala
by
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1 Answer

24 votes
24 votes

Step 1

Polynomials are algebraic expressions that consist of variables and coefficients.

An example of a polynomial with one variable is;


x^2+x-12

All the exponents in the algebraic expression of a polynomial must be non-negative integers in order for the algebraic expression to be a polynomial. As a general rule of thumb if an algebraic expression has a radical in it then it isn’t a polynomial.

The given question is;


x^2+3x^{(1)/(2)}

Answer;


No

This is because of the radical in the power of the x with a coefficient of 3.

User Karthik Saxena
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3.3k points
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