Adding and Subtracting Polynomials Mastery

This video tutorial explains how to add polynomials by identifying and combining like terms. It begins with an introduction to polynomials, defining terms, variables, coefficients, and constants. The tutorial then provides two examples of adding polynomials, demonstrating the use of the distributive property and handling negative signs. The importance of ordering terms by descending degree is emphasized throughout the examples.

What does the term 'polynomial' mean?

• A single number

• Many variables

• A single variable

• Many numbers

Which of the following is a polynomial term?

• 6

• x

• All of the above

• 3x^5

What are 'like terms' in polynomials?

• Terms with the same constants

• Terms with the same variables and exponents

• Terms with the same coefficients

• Terms with different variables

How do you remove parentheses in a polynomial expression?

• By dividing each term inside the parentheses by an implied one

• By multiplying each term inside the parentheses by an implied one

• By subtracting the terms inside the parentheses

• By adding the terms inside the parentheses

What is the result of combining 3x^5 and 1x^5?

• 2x^5

• 3x^5

• 4x^5

• 5x^5

In the first example, what is the combined result of 6x^4 and -1x^4?

• 5x^4

• 7x^4

• 4x^4

• 6x^4

How do you handle a negative sign in front of parentheses?

• Ignore it

• Add it to each term inside the parentheses

• Multiply each term inside the parentheses by -1

• Divide each term inside the parentheses by -1

What is the result of combining 2x^2 and 6x^2?

• 4x^2

• 6x^2

• 8x^2

• 2x^2

In the second example, what is the combined result of 1x^4 and -10x^4?

• -11x^4

• -9x^4

• 9x^4

• 11x^4

What is the final combined result of the constants 2 and 3 in the second example?

• 2

• 3

• 5

• 1