How to subtract a trinomial from a polynomial

The video tutorial explains how to simplify polynomial expressions by identifying and combining like terms. It introduces the concept of like terms, which have the same base and exponent, and demonstrates how to convert subtraction problems into addition problems using the distributive property. The tutorial concludes with a step-by-step process of combining like terms to achieve a simplified expression.

What defines like terms in a polynomial expression?

• Terms with the same base and exponent

• Terms with the same coefficient

• Terms with different exponents

• Terms with different bases

How can you rewrite the subtraction expression 5 - 4 as an addition problem?

• 5 - (-4)

• 5 - 4

• 5 + (-4)

• 5 + 4

What property is used to convert a subtraction problem into an addition problem?

• Commutative Property

• Distributive Property

• Associative Property

• Identity Property

After converting subtraction to addition, what is the next step in simplifying an expression?

• Multiply all terms

• Add all constants

• Combine like terms

• Divide by the highest coefficient

What is the final simplified form of the expression D^2 - D + 5 - 2D - 5?

• D^2 - 3D

• D^2 + 3D

• D^2 - D

• D^2 + D