SOLUTION: Q) A triangle has sides (3x+7),(4x-9), and (5x-6). Find the polynomial that represents its perimeter.

Question 82708: Q) A triangle has sides (3x+7),(4x-9), and (5x-6). Find the polynomial that represents its perimeter.
Found 2 solutions by jim_thompson5910, neil_m:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The perimeter is the sum of all sides, in other words the perimeter (p) equals

where side1=3x+7, side2=4x-9, and side3=5x-6

so it becomes

plug in the given information

Group like terms

Combine like terms

So the perimeter is

Answer by neil_m(2) (Show Source): You can put this solution on YOUR website!
A) This problem can be solved by adding together the sides of the triangle and collecting the coefficients of x.
The perimeter (P) of a triangle is equal to the sum of its three sides, in this case:
P = (3x+7) + (4x-9) + (5x-6)
If we group together the coefficients (numbers multiplied by x) and constants, we can condense the expression into a single polynomial:
P = (3+4+5)x+(7-9-6)
= 12x-8
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