Chapter 14.1, Problem 24PPS

To determine

To simplify polynomial

Explanation of Solution

Given information:

Polynomial $4x^2+5x+1-4x^2-6x$

Here, $4x^2$ and $-4x^2$ are represented by 4 blue and 4 red tiles respectively, $5x$ and $-6x$ are represented by 5 green and 6 red tiles respectively, 1 is represented by 1 yellow tile.

  

        $4x^2$      $5x$    1      $-4x^2$        $-6x$

On solving, $4x^2$ and $-4x^2$ cancels, $5x$ and $-6x$ subtracts, making,

  

Result is $-x+1$

  

  $-x$    1