which of the following expressions are polynomials in one variable and which are not? State reasons for your answer. (i) 4x^2-3x+7 (ii) y^2+√2 (iii) 3√t +t√2 (iv) y+2/y ( v) x^10+y^3+t^50
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Step-by-step explanation:1st 2nd and 3rd
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(i) In 4x 2 − 3x + 7. all the indies of x are whole numbers. So, it is a polynomial in one variable x.
(ii) In y 2 + √2 the index of y is a whole number. So, it is a polynomial in one variable y.
(iii) In 3√t + t√2 = 3t 1/2 + √2 t, here the exponent of first term is 1/2, which is not whole number therefore is it not a polynomial.
(iv) In y +2y= y + 2y − 1, here the exponent of first term is − 1, which is not whole number, therefore, is it not a polynomial.
(v) In x 10 + y 3 + t 50 is not a polynomial in one variable as three variable x, y and t occur in it.
Step-by-step explanation:
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