Polynomial Addition and Subtraction
Aligned To Common Core Standard:
High School - HSA-APR.A.1
How to Add and Subtract Polynomials? By now, you have an understanding of exponents and variables. In fact, you must be familiar with monomials as the singular terms having variables and coefficients If we write these monomials together with a plus or minus sign, we get a polynomial. It is that simple. The sum or difference of monomials is termed as a polynomial. A polynomial usually looks like this: 3 x 2 + 4y + z The above expression is the sum of three monomials; 3 x 2, 4y, and z Similar to monomials, the addition and subtraction of polynomial also follow the rule of like terms. That is, the coefficients with the same variables are added or subtracted but the variables and exponents stay the same. Adding polynomials - Let's explore how the like terms work with polynomials. Let's take one expression to be 3 x 2+ 4y + z and 2 x2 + 5y + 2z as the second expression, and add them. (3 x 2 + 4y + z) + (2 x 2 + 5y + 2z) Remove the parentheses and write like terms together 3 x 2 + 2x2 + 4y + 5y + z + 2z 5 x 2 + 9y + 3z Note how the coefficients have added up while the variable and exponents remain the same Subtracting polynomials - Similar to addition, subtraction also follows the rule of like terms. However, you need to pay close attention to the change of signs Let's take 3x + 4y + 2z and 2x + 3y + z, as two expressions: (3x + 4y + 2z) – (2x + 3y + z) Remove the parentheses and change the signs of subtrahend polynomial: 3x + 4y + 2z – 2x - 3y - z Write the like terms together with their changed signs: 3x - 2x + 4y - 3y + 2z - z Remember to write the sign of greater coefficient with your answer: x + y + z
Printable Worksheets And Lessons
- Algebra Tiles Step-by-step
Lesson- Combine like terms in a polynomial while seeing it visually.
- Guided Lesson
- We get into more operation work with polynomials.
- Guided Lesson Explanation
- Work with the like terms first and then delve into the use of
- Practice Worksheet
- Start with a few visuals and then move into basic sums and differences
- Matching Worksheet
- Match the polynomial operations to their final output, in some
cases simplified output.
- Addition and Subtraction
of Polynomials Five Packet - Work on mass practice for your
sums and differences.
The second sheet is done visually. Students will pick up on it quickly.
The blocks are the middle sheet as well here.
Math Skill Quizzes
I like to have the kids get of the habit of thinking of each polynomial as three separate parts.