Exploring the Addition of Polynomials

This video tutorial covers the process of adding polynomials by combining like terms. It begins with an introduction to the concept, followed by detailed steps on distributing and combining terms. The tutorial includes examples and practice problems to reinforce learning. It concludes with a word problem involving the perimeter of a triangle, demonstrating the application of polynomial addition in real-world scenarios.

What is the first step when adding polynomials?

• Subtract the terms

• Multiply the terms

• Distribute the plus sign

• Combine the constants

When distributing a positive one, what happens to the terms inside the parentheses?

• They are multiplied by zero

• They are divided by two

• They remain unchanged

• They are subtracted

What does it mean to put terms in descending order?

• Arrange terms by the lowest exponent first

• Arrange terms by the highest exponent first

• Arrange terms alphabetically

• Arrange terms by their coefficients

In the example 7x^2 - 7x + 3x - 2x^2, what is the combined form of the x^2 terms?

• 5x^2

• 2x^2

• 9x^2

• 7x^2

What is the result of combining 3r and 8r?

• 5r

• 10r

• 11r

• 6r

In the expression 2r^4 - 7r^4, what is the combined result?

• -5r^4

• 9r^4

• 5r^4

• -9r^4

When combining like terms, what should you do with the coefficients?

• Multiply them

• Add or subtract them

• Divide them

• Ignore them

What is the sum of 2x^2 - x + 4 and x^2 + x - 5?

• 3x^2 - 2x - 1

• 3x^2 + 2x - 1

• x^2 - 2x - 1

• 3x^2 - x - 1

What is the perimeter of a triangle with sides 2x + 1, x - 4, and 4x - 3?

• 7x - 7

• 6x - 6

• 6x - 7

• 7x - 6

In the expression 2x + 4x + x, what is the combined result?

• 8x

• 5x

• 7x

• 6x