Consider each of the following algebraic expressions: Answer the questions given below.

MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials

Problem

Consider each of the following algebraic expressions: 4x2−3x+7,  5x−1+2,  x+1,  34x3−12x,  7,  x2+0x+94x^{2}-3x+7, \; 5x^{-1}+2, \; \sqrt{x}+1, \; \dfrac{3}{4}x^{3}-\dfrac{1}{2}x, \; 7, \; x^{2}+0x+9 Answer the questions given below. (i) For every expression, state whether it is a polynomial in xx. Give a brief reason for your answer in each case. (ii) For each expression that is a polynomial, state its degree. (iii) Among the polynomial expressions identified in part (i), classify each as a monomial, binomial or trinomial after removing any zero terms.

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