Simplifying Polynomial Expressions

The video tutorial explains how to simplify polynomial expressions by combining like terms. It begins with an introduction to the concept of like terms, emphasizing that only terms with the same degree can be combined. The tutorial then demonstrates the process of rearranging terms to group like terms together, followed by the simplification of the expression by adding or subtracting these terms. The final result is a simplified polynomial expression.

What is the first step in simplifying a polynomial expression?

• Convert all terms to x squared

• Divide each term by its coefficient

• Identify and combine like terms

• Multiply all terms by 2

Which of the following are considered like terms?

• 3x and 3x squared

• 2x squared and 5x squared

• x to the third and x squared

• 8x and 8

Why can't x squared be added to x to the third?

• They are not like terms

• They have different coefficients

• They are both constants

• They are both x terms

What is the highest degree term in the expression 2x to the third + 3x squared?

• 2x to the third

• x to the zeroth

• 3x squared

• 8x

How do you simplify 3x squared minus x squared?

• By subtracting them to get 2x squared

• By adding them to get 4x squared

• By dividing them to get x

• By multiplying them to get 3x to the fourth

What happens when you add -8x and 8x?

• You get 16x

• You get 8x

• You get 0

• You get -16x

What is the result of simplifying the constant terms 7 and -3?

• 10

• 4

• 0

• -4

Which property is used to rearrange terms in a polynomial expression?

• Associative property

• Distributive property

• Commutative property

• Identity property

What is the simplified form of the expression 2x to the third + 3x squared - x squared + 7 - 3?

• 2x to the third + 3x squared + 4

• 2x to the third + 2x squared + 4

• 2x to the third + 4x squared + 4

• 2x to the third + 2x squared + 10

What is the final simplified expression in the video?

• 2x to the third + 3x squared + 4

• 3x to the third + 2x squared + 4

• 2x to the third + 2x squared + 7

• 2x to the third + 2x squared + 4