Chapter 14.2, Problem 10PPS

To determine

To add polynomial

Explanation of Solution

Given information:

Polynomial $(-4x^2-2x)+(-x^2+2x+10)$

Opening brackets,

  $-4x^2-2x-x^2+2x+10$

Here,4 $x^2$ and - $x^2$ is represented by 4 blue tiles and 1 red tiles, $2x$ and - $2x$ are represented by 2 green and 2 red tiles respectively, 10 is represented by 10 yellow tiles.

  

    $-4x^2$    $-2x$      $-x^2$      $2x$   10

Solving, -4 $x^2$ and - $x^2$ add, -2 $x$ and 2 $x$ subtract,making,

  

Result is $-5x^2+10$

  

    $-5x^2$      10