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04/07/2021 12:51 pm
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Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
(i) y + 2/y
(ii) x10 + y3 + t50
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04/07/2021 12:53 pm
(i) y + 2/y
The equation y+2/y an be written as y + 2y-1
Though, y is the only variable in the given equation, the powers of y (i.e.,-1) is not a whole number. Hence, we can say that the expression y + 2/y is not a polynomial in one variable.
(ii) x10 + y3 + t50
Here, in the equation x10+y3+t50
Though, the powers, 10, 3, 50, are whole numbers, there are 3 variables used in the expression x10+y3+t50. Hence, it is not a polynomial in one variable.