Chapter 14.2, Problem 4CYU

To determine

To add polynomial

Explanation of Solution

Given information:

Polynomial $(x^2-7x+2)+(-3x^2+x+4)$

Opening brackets,

  $x^2-7x+2-3x^2+x+4$

Here, $x^2$ and -3 $x^2$ is represented by 1 blue tile and 3 red tiles, $-7x$ and $x$ are represented by 7red tiles and 1green tiles respectively, 2 and 4 is represented by 2 and 4 yellow tiles.

  

    $x^2$      -7      2      - 3xx      4

Solving, $x^2$ and -3 $x^2$ subtract, -7 $x$ and $x$ subtract, 2 and 4 add, making,

  

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

  

    $-2x^2$      $-6x$ 6