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In a triangle the longest side is 2 more than the shortest side . the third side is half of the sum of the longest and shortest sides , then express its perimeter in polynomial form

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then the longest side is x+2

the third side=1/2(x+2+x)=1/2(2x+2)=x+1

perimeter =(x)+(x+2)+(x+1)=3x+3

Shortest side = x - 2

Third side = 1/2 * ( 2 x - 2 )

= 1/2 * 2 ( x - 1 ) = 1 * (x - 1) = x - 1

Perimeter = x- 1 + x + x - 2

= 3x -3