Understanding Polynomial Addition

The video tutorial covers the process of adding polynomials by focusing on combining like terms. It begins with simple examples involving monomials and progresses to more complex cases with binomials and higher degree polynomials. The tutorial emphasizes the importance of identifying like terms and demonstrates how to add them by summing their coefficients while keeping the variable factors unchanged. The video concludes with a transition to subtracting polynomials, setting the stage for future lessons.

What is the main rule to remember when adding polynomials?

• Subtract the coefficients of all terms.

• Add all terms regardless of their variables.

• Only add terms with the same variable factor.

• Multiply the coefficients of all terms.

How do you combine like terms in polynomials?

• Subtract the coefficients and keep the variable factor.

• Multiply the coefficients and keep the variable factor.

• Add the coefficients and keep the variable factor.

• Add the coefficients and change the variable factor.

When adding two binomials, what can you do with the parentheses?

• Add a negative sign to each term.

• Multiply them by 2.

• Drop them without changing the signs.

• Multiply each term by zero.

In the example of adding two binomials, what is the result of combining -9X and 1X?

• 10X

• -10X

• -8X

• 0

What is the first step when adding polynomials with different degrees?

• Ignore the degree and add all terms together.

• Combine the terms with the highest degree first.

• Combine the terms with the lowest degree first.

• Subtract the terms with the highest degree first.

In the third example, what is the result of combining 15Y to the fourth and 3Y to the fourth?

• 18Y to the fourth

• 15Y to the fourth

• 12Y to the fourth

• 3Y to the fourth

What happens when you distribute a 1 in addition?

• It changes the sign of all terms.

• It doubles the value of all terms.

• It does not change the sign of any terms.

• It subtracts 1 from each term.

In the final example, what is the result of combining 2A squared and 1A squared?

• 4A squared

• 1A squared

• 3A squared

• 2A squared

How do you handle subtraction when adding polynomials?

• Multiply all terms by zero.

• Ignore the subtraction and add all terms.

• Distribute a negative sign to all terms.

• Treat it the same as addition.

What is the result of combining -3A and 9A in the final example?

• 12A

• -12A

• 6A

• -6A