The three sides of a triangular garden are given by the polynomials

MATHEMATICS · Multi-part · CBSE · Mathematics · We Distribute, Yet Things Multiply · We Distribute, Yet Things Multiply

Problem

The three sides of a triangular garden are given by the polynomials (3x2−2x+5) m(3x^2 - 2x + 5)\,\text{m}, (2x2+4x−7) m(2x^2 + 4x - 7)\,\text{m} and (5−x2−6x) m(5 - x^2 - 6x)\,\text{m}. (i) Find an expression for the perimeter of the garden and simplify it completely. (ii) If x=2x = 2, calculate the numerical value of the perimeter.

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