Question

Which of the following expressions are polynomials in one variables and which are not ? state reasons for your answer .​

Answer 1

Answer:

(i) and (ii) are polynomials is one-variable (iii) is not polynomial (iv) is not a polynomial (v) is a polynomial in three variables.

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Step-by-step explanation:

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Answer 2

Solution:

(i) 4x2 – 3x + 7 is an expression having only non-negative integral powers of x. So, it is a polynomial.

(ii) y2 +√2 is an expression having only non-negative integral power of y. So, it is a polynomial.

(iii) 3√t + √2 is an expression in which one term namely 3√t has rational power of f. So, it is not a polynomial.

(iv) y+ 2y is an expression in which one term namely 2y ⇒ i.e., 2y-1 has negative power of y. So, it is not a polynomial.

(v) x10 + y3 + t50 is an expression which has 3 variables.