A shopkeeper in Pune models his monthly profit by the expression 5x^3 - 4x^(1/2) + 7, where x is the number of items. A student claims this is a cubic polynomial. Is the student right?

Question

Accepted Answer

No, it is not a polynomial because of x^(1/2). x^(1/2) = √(x) has a fractional exponent, so the whole expression is not a polynomial at all; hence it cannot be called cubic.

A shopkeeper in Pune models his monthly profit by the expression
$5 x^{3} - 4 x^{1/2} + 7$ , where $x$ is the number of items.
A student claims this is a cubic polynomial.
Is the student right?

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More Class 9 Degree and Types of Polynomials practice

A shopkeeper in Pune models his monthly profit by the expression5x3−4x1/2+7, where x is the number of items.A student claims this is a cubic polynomial.Is the student right?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Degree and Types of Polynomials practice

A shopkeeper in Pune models his monthly profit by the expression
$5 x^{3} - 4 x^{1/2} + 7$ , where $x$ is the number of items.
A student claims this is a cubic polynomial.
Is the student right?