The length of a rectangular poster is and its breadth is

MATHEMATICS · Multi-part · AoPS · Mathematics · x Marks the Spot · x Marks the Spot

Problem

The length of a rectangular poster is (x+4) cm(x+4)\,\text{cm} and its breadth is (x−2) cm(x-2)\,\text{cm}. Answer the following questions based on this information. (i) Write an expression for the area of the poster in standard polynomial form. (ii) Ignoring any term with zero coefficient, state how many terms are present in the area expression obtained in part (i) and classify it as a monomial, binomial or trinomial. (iii) State the degree of the area polynomial. (iv) Calculate the numerical value of the area when x=3x=3.

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