Chapter 14.1, Problem 25PPS

To determine

To simplify polynomial

Explanation of Solution

Given information:

Polynomial $6+2x^2-3x-4x-x^2$

Here, $2x^2$ and $-x^2$ is represented by 2 blue and 1 red tiles respectively, $-3x,-4x$ is represented by 3 and 4 red tiles, 6 is represented by 6 yellow tiles

  

  6      $2x^2$      $-3x$      $-4x$      $-x^2$

On solving, $2x^2$ and $-x^2$ subtracts, $-3x$ and $-4x$ add, making,

  

Result is $x^2-7x+6$

  

    $x^2$          $-7x$              6