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
Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer.
(i) 4x2 - 3x + 7
(ii) y2 + √2
(iii) 3√t + t√2
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(i) 4x2 - 3x + 7
Yes, this expression is a polynomial in one variable x.
(ii) y2 + √2
Yes, this expression is a polynomial in one variable y.
(iii) 3√t + t√2
No. It can be observed that the exponent of variable t in term 3√t is 1/2, which is not a whole number. Therefore, this expression is not a polynomial.
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