Exploring Addition and Subtraction of Polynomials

This lesson covers the basics of adding and subtracting polynomials, focusing on understanding terms like monomials, binomials, and trinomials. It emphasizes the importance of combining like terms, which have the same variable raised to the same power. The lesson includes examples of how to combine terms both horizontally and vertically, and explains the process of distributing negative signs in equations.

What is a polynomial with only one term called?

• Monomial

• Trinomial

• Binomial

• Quadrinomial

How many terms does a trinomial have?

• One

• Two

• Four

• Three

What does it mean for terms to be 'like terms'?

• They have different variables

• They have the same variable raised to the same power

• They are constants

• They have the same coefficient

In the expression 3x^2 + 2x^2, what is the result of combining like terms?

• 5x^4

• 5x^2

• 1x^2

• 6x^2

When adding polynomials vertically, what is the first step?

• Multiply the coefficients

• Add the coefficients of like terms

• Divide the coefficients

• Subtract the coefficients

What should you do first when you see a number in front of parentheses in a polynomial?

• Add the number to each term inside the parentheses

• Subtract the number from each term inside the parentheses

• Distribute the number to each term inside the parentheses

• Ignore the number

In the expression 5(7x^2 - x + 2), what is the result after distributing the 5?

• 35x^2 - 5x + 10

• 35x^2 - x + 2

• 35x^2 - 5x + 2

• 7x^2 - 5x + 10

What happens to the terms inside parentheses when there is a minus sign in front of them?

• They are added together

• They remain the same

• They are multiplied by -1

• They are divided by -1

In the expression 5x^2 - (6x^2 - 9x + 7), what is the result after distributing the negative sign?

• 5x^2 + 6x^2 + 9x - 7

• 5x^2 - 6x^2 - 9x - 7

• 5x^2 + 6x^2 - 9x + 7

• 5x^2 - 6x^2 + 9x - 7

What is the result of combining like terms in the expression 4x^2 - 3x + 2 - (4x^2 + 3x + 6)?

• 8x^2 + 6x + 4

• 8x^2 - 6x - 4

• 0 - 6x + 4

• 0 - 6x - 4