Master Adding and Subtracting Polynomials

This video tutorial explains how to add and subtract polynomials, focusing on combining like terms. It covers the importance of matching bases and powers, and demonstrates the use of the commutative and distributive properties. The tutorial also introduces the vertical method for organizing polynomial operations, emphasizing the use of place values for missing terms.

What is a polynomial with only one term called?

• Quadrinomial

• Trinomial

• Binomial

• Monomial

When adding polynomials, what must be the same for the terms to be combined?

• Base and power

• Variable and coefficient

• Coefficient and power

• Base and coefficient

What property allows us to rearrange terms when adding polynomials?

• Associative Property

• Distributive Property

• Identity Property

• Commutative Property

Why is it important to use parentheses in polynomial subtraction?

• To simplify the expression

• To ensure correct distribution of negative signs

• To apply the commutative property

• To make it look neat

What method involves writing polynomials in a vertical format for addition or subtraction?

• Vertical Method

• Lateral Method

• Horizontal Method

• Diagonal Method

In the vertical method, what should you do if a polynomial is missing a term?

• Ignore the missing term

• Use a placeholder with zero

• Add a random term

• Subtract a random term

What is the result of subtracting a negative term in polynomials?

• It becomes positive

• It becomes zero

• It doubles

• It remains negative

What is the degree of a polynomial?

• The number of terms

• The highest power of the variable

• The sum of coefficients

• The number of variables

What is the first step in using the vertical method for polynomial subtraction?

• Multiply all terms

• Add all coefficients

• Align the terms by degree

• Divide the terms

What is the final step in simplifying a polynomial expression?

• Divide by the highest degree

• Combine like terms

• Add all coefficients

• Multiply all terms