Adding and Subtracting Polynomials Explained

The video tutorial by Mr. Wht from Fort Ben Tutoring covers the topic of adding polynomials. It begins with an introduction to like terms and their importance in polynomial addition. The tutorial then walks through several example problems, demonstrating how to combine like terms, arrange terms in descending and alphabetical order, and simplify expressions by removing unnecessary parentheses. The video also covers the distribution of scalars in polynomial expressions. Each problem is solved step-by-step, with explanations of the mathematical principles involved.

What is the result of adding 8R^5 and 2R^5?

• 10R^5

• 8R^5

• 10R^10

• 8R^10

When combining like terms, what remains unchanged?

• The order of terms

• The signs

• The variables and exponents

• The coefficients

How should you write your answer when combining like terms?

• In alphabetical order

• In descending order of the variable

• In ascending order of the variable

• In random order

What is the result of combining 3K^2 and 5K^2?

• 8K

• 8K^2

• 15K^2

• 3K^2

What is the result of combining 7A^2B and 13A^2B?

• 20A^2B

• 7A^2B

• 13A^2B

• 20AB^2

What is the result of combining 2D and 3D?

• 2D

• 5D

• 6D

• 5D^2

What is the result of combining 4X, X, and 11X?

• 16X

• 4X

• 15X

• 11X

What is the result of combining 5X^2 and -4X^2?

• 1X^2

• 0X^2

• 9X^2

• 5X^2

What is the result of distributing 4 to (X^2 - 3X + 7)?

• 4X^2 - 12X + 28

• 4X^2 - 3X + 7

• 4X^2 - 12X + 7

• 4X^2 - 3X + 28

What is the result of combining -Y^3 and 12Y^3?

• 13Y^3

• -Y^3

• 11Y^3

• 12Y^3