Learn how to combine two trinomials by alligning vertically

The video tutorial explains how to add and subtract polynomials by focusing on like terms. It emphasizes the importance of ensuring that the monomials have the same variable factors to be considered like terms. Once identified, like terms can be combined by adding their coefficients while keeping the variable part unchanged. An example is provided to illustrate the process, showing how 5X^2 and 2X^2 are combined to form 7X^2.

What must be true about the variable factors of monomials for them to be added or subtracted?

• They must have at least one common variable factor.

• They must have no variable factors.

• They must have the same variable factors.

• They must have different variable factors.

What are like terms in the context of polynomials?

• Terms with different variable factors.

• Terms with no variables.

• Terms with the same variable factors.

• Terms with different coefficients.

How do you combine like terms in a polynomial?

• By multiplying their coefficients.

• By subtracting their coefficients and changing the variable factors.

• By adding their coefficients and changing the variable factors.

• By adding their coefficients and keeping the variable factors the same.

In the example given, what is the result of combining 5X^2 and 2X^2?

• 3X^2

• 5X^4

• 7X^2

• 10X^2

What remains unchanged when combining like terms?

• The variable factors

• The exponents

• The coefficients

• The entire term