How to Add and Subtract Polynomials Using Algebra Tiles

Algebra tiles are a visual tool for adding and subtracting polynomials. In this article, the method of using tiles for the addition and subtraction of polynomials is taught step by step.

A step-by-step guide to Adding and Subtracting Polynomials Using Algebra Tiles

A visual tool to use for the addition and subtraction of polynomials is algebra tiles. The tiles are usually white and colored squares, and the colors are used for subtraction. Different sized tiles are also used for \(y\), \(x\), and numbers.

To add a polynomial using algebra tiles, first, simulate the polynomial. Place the tiles together for each polynomial and then by counting the tiles, combine the like terms and calculate the value.

Use colored squares in modeling wherever there is a minus sign. Cross out the same number of negative or positive tiles on both sides of the equation. The answer to the problem is obtained by counting the number of remaining squares. Pay attention to the color of the squares while counting.

Note: Given that the order of terms in polynomials does not affect the final result, you can arrange them in any convenient way.

Adding and Subtracting Polynomials Using Algebra Tiles-Example 1:

Use algebra tiles to simplify: \((x^2+x+2)+(3x^2-2x+2)\).

Solution:

Model the given polynomials using algebra tiles.

Here, cross out one \(x\) tile on the left side and do the same on the other side. That is,

Count the number of remaining tiles. So, \((4x^2-x+4)\)