Distributing and Combining Polynomials

The video tutorial explains the process of adding and subtracting polynomials, emphasizing the need for matching exponents. It covers the use of the distributive property to eliminate parentheses and highlights the impact of multiplying by negative numbers, which changes the signs of terms. The tutorial demonstrates how to combine like terms and simplify polynomial expressions, concluding with the significance of sign changes in the final result.

Why is it important to have the same exponent when adding or subtracting polynomials?

• To change the variable

• To make the equation longer

• To ensure the terms can be combined

• To increase the exponent

What is the first step in removing parentheses in polynomial expressions?

• Subtracting a number from each term

• Using the distributive property

• Changing the variable

• Adding a number to each term

What happens when you distribute a positive one across terms in a polynomial?

• The terms remain unchanged

• The terms are subtracted

• The terms are multiplied by zero

• The terms are divided by one

How does distributing a negative one affect the terms in a polynomial?

• It changes the signs of the terms

• It doubles the terms

• It squares the terms

• It adds one to each term

What is the next step after distributing numbers in a polynomial?

• Combining like terms

• Adding new variables

• Multiplying by another polynomial

• Dividing by a constant

When combining like terms, what should you compare?

• The coefficients

• The exponents

• The variables

• The constants

What is the result of combining -5F and 12F?

• 17F

• -17F

• 7F

• -7F

What is the simplified result of 25 minus 9 in the polynomial?

• 14

• 18

• 16

• 34

Why is it important to pay attention to sign changes when distributing?

• It changes the variable

• It affects the length of the polynomial

• It increases the exponent

• It alters the final answer