Exploring Polynomial Operations

This video tutorial covers polynomial operations, including addition, subtraction, and multiplication. It explains how to combine like terms, use the distributive property, and apply shortcuts for efficient calculations. The tutorial also explores advanced multiplication techniques for binomials and trinomials.

What is required for terms to be considered 'like terms'?

• Same variable and same exponent

• Same coefficient and same variable

• Same exponent and same constant

• Same variable and same constant

Tags

CCSS.6.EE.A.2B

When combining like terms, in what order should the terms be written?

• Alphabetical order of variables

• Random order

• Ascending order of exponents

• Descending order of exponents

Tags

CCSS.7.EE.A.1

What must you do when subtracting polynomials?

• Distribute the negative sign to each term in the second polynomial

• Combine like terms directly

• Add the polynomials first

• Ignore the negative sign

Tags

CCSS.HSA.APR.A.1

How do you recognize multiplication of polynomials?

• Parentheses are separated by a minus sign

• Parentheses are separated by a plus sign

• There are no parentheses

• Parentheses are touching

Tags

CCSS.HSA.APR.A.1

What is the result of multiplying 2x by 5x?

• 10x^2

• 10x

• 7x

• 7x^2

Tags

CCSS.HSA.APR.A.1

When multiplying a binomial by a trinomial, what property is used?

• Commutative property

• Associative property

• Distributive property

• Identity property

Tags

CCSS.HSA.APR.A.1

What is the first step in multiplying (2x + 6)^3?

• Subtract the terms first

• Add the terms first

• Multiply two terms at a time

• Multiply all three terms at once

Tags

CCSS.HSA.APR.C.5

What is the shortcut for the sum and difference of squares?

• a^2 + 2ab + b^2

• a^2 - b^2

• a^2 - 2ab + b^2

• a^2 + b^2

Tags

CCSS.HSA.APR.C.4

What is the pattern for the square of a binomial (a + b)^2?

• a^2 + 2ab + b^2

• a^2 - 2ab + b^2

• a^2 - b^2

• a^2 + b^2

Tags

CCSS.HSA.APR.C.4

What is the pattern for the cube of a binomial (a + b)^3?

• a^3 - b^3

• a^3 + b^3

• a^3 + 3a^2b + 3ab^2 + b^3

• a^3 - 3a^2b + 3ab^2 - b^3

Tags

CCSS.HSA.APR.C.5