Question

The lengths of the sides of a triangle are represented by the polynomials 2x2 - 4x +3,5x2 - 2x + 4, and 6x2 + 2x - 8.What is the coefficient of the x term in the expression for the triangle's perimeter?The coefficient of the perimeter's x term is

Answer 1

The perimeter of a shape is the sum of the lengths of its sides, to find the expression for the triangle's perimeter, add the expression for the lengths of the triangle's side.

$\begin{gathered} (2x^2-4x+3)+(5x^2-2x+4)+(6x^2+2x-8) \\ 2x^2+5x^2+6x^2-4x-2x+2x+3+4-8 \\ 13x^2-4x-1 \end{gathered}$

According to the expression for the triangle's perimeter, the coefficient of the x term is -4.