Consider the expression r(x)= 1 2 x^ 5 -3x^ 3 +2x^ 2 - 1 2 x^ 5 +4

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

Problem

Consider the expression r(x)=12x5−3x3+2x2−12x5+4.r(x)=\frac{1}{2}x^{5}-3x^{3}+2x^{2}-\frac{1}{2}x^{5}+4. Answer the following questions. (i) Simplify r(x)r(x) by combining like terms. (ii) For the simplified form of r(x)r(x), write down: (a) its degree, (b) the leading coefficient, (c) the constant term. (iii) State whether the simplified polynomial is a monomial, binomial, trinomial or has more than three terms.

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