Exploring Operations with Polynomials

This video tutorial covers operations with polynomials, including adding, subtracting, multiplying, and dividing them. It explains the importance of like terms in addition and subtraction, and how to handle exponents in multiplication and division. The tutorial also demonstrates the distributive property and the FOIL method for multiplying binomials, providing examples throughout to illustrate each concept.

What is a polynomial?

• A number with only three terms

• A combination of numbers and letters added and multiplied together

• A number with only two terms

• A number with only one term

Which of the following is a binomial?

• 2x^2 + 5x - 8

• x^2 - 9

• 5x

• 4x^3

What are like terms?

• Terms with different variables and different exponents

• Terms with the same variable and different exponents

• Terms with different variables and the same exponents

• Terms with the same variable and the same exponents

What is the result of adding 2x^2 and 5x^2?

• 7x^2

• 1x^2

• 10x^2

• 3x^2

When multiplying polynomials, what do you do with the exponents?

• Add them

• Divide them

• Subtract them

• Multiply them

What is the product of 2x^2 and 5x^2?

• 10x^4

• 7x^2

• 7x^4

• 10x^2

When dividing polynomials, what do you do with the exponents?

• Add them

• Subtract them

• Multiply them

• Divide them

What is the result of dividing 20x^7 by 5x^3?

• 15x^10

• 4x^10

• 4x^4

• 15x^4

What is the distributive property?

• Dividing each term inside the parentheses by the number outside

• Multiplying each term inside the parentheses by the number outside

• Adding the same number to each term

• Subtracting the same number from each term

What does FOIL stand for in polynomial multiplication?

• First, Outer, Inner, Largest

• First, Outer, Inner, Longest

• First, Outer, Inner, Least

• First, Outer, Inner, Last