Chapter 14.2, Problem 3CYU

To determine

To add polynomial

Explanation of Solution

Given information:

Polynomial $(2x^2+6)+(-x^2+3x-1)$

Opening brackets,

  $2x^2+6-x^2+3x-1$

Here,2 $x^2$ and - $x^2$ is represented by 2 blue and 1 red tiles, $3x$ is represented by green tiles, 6 and 1 are representedby 6 yellow and 1 red respectively.

  

    2 $x^2$          6        - $x^2$     $x$     -1

Solving, 2 $x^2$ and - $x^2$ subtract, 6 and -1subtract, resulting,

  

Result is $x$ 2+ 3x + 5

  

    $x$      3x      5