A polynomial is a mathematical expression that contains variables, coefficients, and exponents. For example, 3x^2 + 5x – 2 is a polynomial.
Now, let’s look at the worksheet. The worksheet has sets of polynomial expressions that we need to add or subtract. When we add or subtract polynomials, we need to combine the like terms. Like terms are the terms that have the same variables and exponents. For example, 3x^2 and 2x^2 are like terms because they both have x^2 as the exponent.
To add or subtract polynomials, we need to line up the like terms and then combine them. Let’s look at an example:
(2x^2 + 3x + 4) + (4x^2 – 2x + 1)
To add these polynomials, we first line up the like terms:
2x^2 + 3x + 4
- 4x^2 – 2x + 1
6x^2 + 1x + 5
So the sum of these two polynomials is 6x^2 + x + 5.
When we subtract polynomials, we follow the same steps. Let’s look at an example:
(5x^2 + 4x + 2) – (2x^2 + 3x – 1)
To subtract these polynomials, we first distribute the negative sign to the second polynomial:
5x^2 + 4x + 2
- 2x^2 – 3x + 1
3x^2 + 1x + 3
So the difference of these two polynomials is 3x^2 + x + 3.
Remember to simplify your answer and write it in standard form, which means to write the terms in order of descending exponents.
The worksheets are best used as an introduction for grade six and seven Mathematics pupils. This worksheet provides an excellent activity for a specific part of the topic Algebraic expression. Students have to find the sum or difference for each set of polynomial expressions. Students can achieve primary skills in algebraic expressions through this activity.
After doing this activity Your child will be able to Add or subtract polynomials.