Adding Polynomials: Key Concepts and Techniques

This video tutorial teaches how to add polynomials by focusing on like terms. It explains that like terms have the same variable raised to the same power and provides examples of both like and unlike terms. The video demonstrates adding like terms by summing their coefficients and shows how to add binomials and trinomials in standard form. Additionally, it introduces the stack and add method as an alternative approach to adding polynomials.

What is the first step in adding polynomials?

• Multiplying the variables

• Identifying like terms

• Dividing the constants

• Subtracting the coefficients

Which of the following pairs are like terms?

• 4a and 4b

• 3x and 3y

• 5x^2 and -11x^2

• 2y^3 and 2y^2

Why are 5x^2 and -11x^2 considered like terms?

• They have the same coefficient

• They have the same variable raised to the same power

• They are both positive

• They are both negative

Which of the following is NOT a pair of like terms?

• 2a^3 and 5a^3

• 7y^4 and -3y^4

• x^4 and x^2

• 4b^2 and -4b^2

How do you add like terms?

• Add the coefficients

• Subtract the coefficients

• Divide the coefficients

• Multiply the coefficients

What is the result of adding 5x^2 and -11x^2?

• 16x^2

• -6x^2

• 6x^2

• -16x^2

When adding polynomials, why is it important to put them in standard form?

• To ensure the highest degree term is first

• To make them easier to multiply

• To divide the terms correctly

• To simplify the subtraction process

What is the result of adding -5a^3 and 6a^3?

• -11a^3

• 1a^3

• -1a^3

• 11a^3

In the stack and add method, what is the first step?

• Subtract the polynomials

• Multiply the polynomials

• Put the polynomials in standard form

• Divide the polynomials

What is the final result of adding 4x^3, -6x^2, 3x, and 11?

• 4x^3 + 6x^2 + 3x - 11

• 4x^3 - 6x^2 - 3x + 11

• 4x^3 + 6x^2 - 3x + 11

• 4x^3 - 6x^2 + 3x + 11