Adding and Subtracting Polynomials Explained

The video tutorial explains how to combine polynomials by focusing on like terms. It introduces the concept of like terms and demonstrates how to add and subtract them using coefficients. The tutorial covers two main methods: the vertical method and the distributive property. The vertical method is shown for both addition and subtraction, while the distributive property is applied to subtraction. The tutorial emphasizes the importance of understanding operations with coefficients and provides examples to illustrate these concepts.

What is the key concept to understand when combining polynomials?

• Combining constants

• Combining coefficients

• Combining like terms

• Combining different terms

When combining like terms, what remains the same?

• The coefficients

• The constants

• The like term

• The exponents

In the example 3x + 5x, what is the result?

• 2x

• 8x

• 15x

• 0x

What is the vertical method used for?

• Subtracting polynomials

• Adding polynomials

• Dividing polynomials

• Multiplying polynomials

In the vertical method, what should you do if there is no x term?

• Skip the term

• Write 1x

• Write 0x

• Leave the space blank

What is the result of 3x^2 + 4x^2 using the vertical method?

• 5x^2

• 12x^2

• 7x^2

• 1x^2

What is one way to handle subtraction when combining polynomials?

• Using the commutative property

• Using the identity property

• Using the associative property

• Using the distributive property

What is the result of 4y - 6y?

• 0y

• -2y

• 2y

• 10y

What should you do if you don't like using the distributive property for subtraction?

• Use the commutative property

• Use the vertical method

• Use the associative property

• Use the identity property

What is the final result of combining 4y^3 - y - 1?

• 4y^3 - 2y - 1

• 4y^3 - y - 2

• 4y^3 - y - 1

• 4y^3 - 3y - 1