Exploring Polynomial Addition and Subtraction

The video tutorial explains how to add polynomials by following a series of steps. It begins with removing parentheses, identifying like terms, and then adding those like terms. Finally, it demonstrates how to write the resulting polynomial in standard form, from the highest to the lowest degree. The tutorial emphasizes understanding each step and encourages viewers to practice independently.

What are the given polynomials in the problem?

• 3x + 2x^2 - 5 and -4x + 3x^2 - 8

• 3x + 2x^3 - 5 and -4x + 3x^3 - 8

• 3x + 2x^3 - 5 and -4x + 3x^2 - 8

• 3x + 2x^2 - 5 and -4x + 3x^3 - 8

What is the first step in solving the polynomial addition problem?

• Identify like terms

• Write in standard form

• Remove parentheses

• Add like terms

What is the result of removing the parentheses from the given polynomials?

• 3x + 2x^3 - 5 - 4x + 3x^2 - 8

• 3x + 2x^3 - 5 - 4x + 3x^3 - 8

• 3x + 2x^2 - 5 - 4x + 3x^3 - 8

• 3x + 2x^2 - 5 - 4x + 3x^2 - 8

Which of the following are like terms in the given polynomials?

• 3x and 2x^3

• 2x^3 and 3x^3

• 3x and 3x^3

• 2x^3 and -5

What is the second step in solving the polynomial addition problem?

• Add like terms

• Identify like terms

• Remove parentheses

• Write in standard form

What is the result of adding the like terms 3x and -4x?

• x

• -x

• -7x

• 7x

What is the result of adding the like terms 2x^3 and 3x^3?

• 5x^3

• 0

• 6x^3

• x^3

What is the result of adding the constants -5 and -8?

• 3

• -13

• -3

• 13

What is the final polynomial in standard form?

• 5x^3 - x - 13

• -x + 5x^3 - 13

• -13 + 5x^3 - x

• 5x^3 - 13 - x

What is the last step in solving the polynomial addition problem?

• Write in standard form

• Remove parentheses

• Add like terms

• Identify like terms