Adding and Subtracting Polynomials Explained

This video tutorial covers the process of adding and subtracting polynomials. It begins with an introduction to like terms, which are terms with the same variable and exponent that can be combined. The tutorial then provides three examples, each progressively more complex, demonstrating how to handle parentheses and apply the distributive property. The video emphasizes the importance of combining like terms and ordering terms by their exponents.

What are like terms in polynomials?

• Terms with the same variable and the same exponent

• Terms with the same variable but different exponents

• Terms with no variables

• Terms with different variables and exponents

How do you apply the distributive property to polynomials?

• By multiplying a number in front of the parentheses to each term inside

• By subtracting each term inside the parentheses

• By adding a number in front of the parentheses to each term inside

• By dividing each term inside the parentheses

How do you handle a negative sign in front of parentheses when simplifying polynomials?

• Ignore the negative sign

• Multiply by negative one outside the parentheses only

• Consider it as a negative one and distribute

• Add one to each term inside

What does the distributive property allow you to do?

• Subtract terms inside parentheses

• Combine like terms

• Multiply a number across terms inside parentheses

• Divide terms by the number in front of parentheses

What is the result of combining 4x^2 and -3x^2?

• 7x^2

• x^2

• -x^2

• 1x^4

After applying the distributive property, what is the next step in simplifying polynomials?

• Divide each term by the coefficient

• Combine like terms

• Combine unlike terms

• Square each term

What is the simplified form of 5p^2 + 2p^2?

• 7p^4

• 10p^2

• 3p^2

• 7p^2

What is the result of subtracting 3p^3 from 2p^3?

• -p^3

• p^6

• 5p^3

• -5p^3

In the final example, what is the simplified form of 2x - 4x?

• -6x

• 6x

• -2x

• 2x

What is the final simplified form when combining positive 6 and negative 18?

• -12

• 12

• -24

• 24