Adding and Subtracting Polynomials Explained

The video tutorial covers the process of adding and subtracting polynomials, focusing on the Tennessee Ready Standard AAPR A1. It explains the concept of combining like terms, using coefficients to add or subtract terms with the same variables and exponents. The tutorial provides examples of simplifying polynomial expressions and emphasizes writing solutions in standard form. Students are guided through various examples, highlighting terms and distributing negatives to simplify expressions.

What is the main topic of today's lesson?

• Dividing polynomials

• Factoring polynomials

• Multiplying polynomials

• Adding and subtracting polynomials

What does it mean to combine like terms?

• Dividing terms with the same variables

• Adding or subtracting terms with the same variables and exponents

• Multiplying terms with the same variables

• Adding or subtracting terms with different variables

Which of the following is an example of like terms?

• 2x^2 and 2x

• 5y and 5

• 3x and 3y

• 4x^2 and 4x^2

What should you do first when subtracting polynomials with parentheses?

• Combine all terms directly

• Ignore the parentheses

• Distribute the negative sign

• Add the terms inside the parentheses

In the expression (x^2 + 6) - (6 + x^2), what is the result after combining like terms?

• 0

• 2x^2

• x^2 + 6

• 2x^2 + 6

How do you write the final answer in standard form?

• Alphabetical order and highest exponents first

• Numerical order

• Random order

• Lowest exponents first

What is the result of combining 3x + 2x?

• 5x

• 6x

• 1x

• 0x

What is the result of combining -6y + y?

• -5y

• 5y

• -7y

• 6y

What is the result of combining 5x - 8x?

• -13x

• 13x

• -3x

• 3x

What is the result of combining 3x^2 - 8x^2?

• 5x^2

• -5x^2

• -11x^2

• 11x^2