Chapter 14.1, Problem 21PPS

To determine

To simplify polynomial

Explanation of Solution

Given information:

Polynomial $7x-8+2x+4x^2+x^2$

Here, $4x^2,x^2$ are represented as 4 and 1 blue tiles respectively, $-8$ is represented as 8 red tiles and $7x,2x$ are represented by 7 and 2 green tiles respectively.

On solving, $4x^2,x^2$ adds, $7x,2x$ adds, resulting,

  

      $7x$      -8  $2x$        $4x^2$        $x^2$

On solving, $4x^2,x^2$ adds, $7x,2x$ adds, resulting,

  

    $5x^2$                    $9x$          -8

Result is $5x^2+9x-8^{}$