Question

Write an expression that represents the perimeter of a rectangle whose sides are 3x-2 and 3x​²-5.is the expression a polynomial?justify

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{rectangle}\mathrm{be}3\mathrm{x}-2\mathrm{and}\mathrm{breadth}\mathrm{be}3{\mathrm{x}}^2-5. \\ \mathrm{so},\mathrm{perimeter}=2\left(\mathrm{length}+\mathrm{breadth}\right) \\ =2\left(3\mathrm{x}-2+3{\mathrm{x}}^2-5\right) \\ =6{\mathrm{x}}^2+6\mathrm{x}-14 \\ \mathrm{As}\mathrm{it}\mathrm{is}\mathrm{of}\mathrm{the}\mathrm{form}{\mathrm{ax}}^{\mathrm{n}}+{\mathrm{bx}}^{\mathrm{n}-1}+....\mathrm{c}. \\ \mathrm{so},\mathrm{it}\mathrm{is}\mathrm{a}\mathrm{polynomial} \\ \mathrm{where}\mathrm{a}=6,\mathrm{b}=6\mathrm{and}=-14 \\ \mathrm{with}\mathrm{n}=2. \end{gathered}$$