#AP SAT (Digital) Polynomials: Your Night-Before Power-Up 🚀

Hey there, future AP star! Let's get you prepped and confident for tomorrow's exam. We're diving into polynomials, a topic that's not just math—it's a superpower for solving all sorts of problems. Think of this as your ultimate cheat sheet, designed to make everything click, fast.

#Operations with Polynomials: The Basics

Polynomials are like the building blocks of algebra. They're expressions with variables and coefficients, all tied together with addition, subtraction, multiplication, and those handy non-negative exponents. Let's break it down:

#Adding and Subtracting Polynomials

• Like Terms: These are the VIPs. They have the same variables raised to the same powers. Think of them as matching puzzle pieces. You can only combine these.

• Combining: Just add or subtract the coefficients of like terms. It's like counting apples and oranges—but they have to be the same kind of fruit to combine!

• Degree: The highest exponent in a polynomial. It's like the 'age' of the polynomial.

• Standard Form: Arrange terms from the highest degree to the lowest. It's like lining up tallest to shortest.

#Multiplying Polynomials

• Distributive Property: Your best friend here. Multiply each term in one polynomial by every term in the other. It's like making sure everyone gets a handshake.

• FOIL Method: For binomials (two terms), it's First, Outer, Inner, Last. A quick way to remember all the combinations.

• Degree of Product: The degree of the resulting polynomial is the sum of the degrees of the polynomials you multiplied. It's like adding their 'ages'.