Reminders

Only Combine like terms

- that means that same variable with the same exponent

When multiplying variables, add the exponent if the base is the same

Follow Order Of Operations

- P-E-MD-AS

Adding/Subtracting

Distribute any negatives

Combine Like Terms

Multiplying

Two Binomials

- FOIL

One Monomial, and one polynomial

- Distribute the monomial

Multiplying

Two Binomials

- FOIL

One Monomial, and one polynomial

- Distribute the monomial

Multiplying

All other types

Distribute the first term in the first polynomial to all terms in the second.

Repeat for every additional terms in the first polynomial

Combine Like Terms

Number of Solutions

When solving a polynomial equation, the variable terms may cancel out on both sides



When this happens, there are two possible outcomes:

Infinitely Many Solutions

or

No Solutions

Number of Solutions

Infinitely Many Solutions

Variable terms cancel out on both sides, and the remaining constant terms are equal

This means that any value of x substituted into the original equation would make both sides of the equation equal

Number of Solutions

No Solutions

Variable terms cancel out on both sides, and the remaining constant terms are unequal

This means that any value of x substituted into the original equation would make both sides of the equation unequal