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Q1) Which of the following expression are polynomials in one variable and which are not ? state reasons for your answer.
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question 1,2,3 and 4 are one variable equation because they contain only one variable i.e. x,y,t and y respectively.
But question 5 is a two variable equation be because it contains two variables i.e. x and y.
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Answer:
(i) In 4x2−3x+7. all the indies of x are whole numbers.
So, it is a polynomial in one variable x.
(ii) In y²+root2 the index of y is a whole number.
So, it is a polynomial in one variable y
(iii) In 3root t+2root t =3t½+ root2 t, here the exponent of first term is ½
which is not whole number therefore is it not a polynomial.
(iv) In y+2/y =y+2y‐¹, here the exponent of first term is −1,
which is not whole number, therefore, is it not a polynomial.
(v) In x¹⁰+y³+t⁵⁰
is not a polynomial in one variable as three variable x,y and t occur in it.
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