Adding and Subtracting Polynomials

The video tutorial explains how to add and subtract polynomials by eliminating parentheses and combining like terms. It demonstrates the process of distributing positive and negative signs to simplify polynomial expressions. The tutorial provides examples of both addition and subtraction, highlighting the importance of identifying like terms and arranging them in descending order.

What is the first step in adding polynomials?

• Add a constant to each term

• Divide by the highest degree term

• Eliminate the parentheses

• Multiply all terms by 2

When adding polynomials, what can be done with the coefficients of like terms?

• Subtract them

• Multiply them

• Add them

• Ignore them

In the example of adding polynomials, what is the result of combining 2x^5 and -11x^5?

• -9x^5

• -13x^5

• 9x^5

• 13x^5

What is the purpose of distributing a negative sign when subtracting polynomials?

• To add a constant to each term

• To change the sign of each term

• To eliminate the highest degree term

• To multiply each term by zero

What happens to the signs of the terms in a polynomial when a negative sign is distributed?

• They remain the same

• They become positive

• They are multiplied by two

• They change to the opposite sign

In the subtraction example, what is the result of combining -9y^3 and 8y^3?

• 17y^3

• -17y^3

• -1y^3

• 1y^3

What is the correct order to write the terms in a polynomial?

• Random order

• Alphabetical order

• Descending order of degree

• Ascending order of degree

How do you identify like terms in a polynomial?

• By their degree

• By their constant terms

• By their variable parts

• By their coefficients

What is the result of combining -11x and -2x in the subtraction example?

• 9x

• 13x

• -9x

• -13x

What must be the same for terms to be considered like terms?

• Their constant terms

• Their exponents

• Their variable parts

• Their coefficients