Chapter 14.2, Problem 2BGP

To determine

To add polynomial

Explanation of Solution

Given information:

Polynomial $(x^2-4x-1)+(-2x^2+5x-3)$

Opening brackets,

  $x^2-4x-1-2x^2+5x-3$

Here, $x^2$ and $-2x^2$ is represented by 1 blue and 2 red tiles, $-4x$ and $5x$ is represented by 4 red tiles and 5 green tiles. -3 and -1 are represented by 3 and 1 red tiles respectively.

  

    $x^2$      $-4x$    -1        $-2x^2$       $5x$    -3

Solving, $x^2$ and $-4x$ subtract, 5 $x$ and -2 $x$ subtracts, 1 and 5 making,

  

Result is $-x^2+x-4$

  

    $-x^2$      x  1