What is algebra 3?

Algebra 3, also known as advanced algebra, is typically a course that builds upon the concepts learned in Algebra 1 and Algebra 2. It is a higher level of algebra that explores more advanced topics and applications. Some common topics covered in Algebra 3 include:

1. Matrices: Matrices and matrix operations are introduced, including addition, subtraction, scalar multiplication, and matrix multiplication. Students learn how to solve systems of linear equations using matrices.

2. Complex numbers: Complex numbers are introduced, including their representation, operations, and properties. Students learn how to solve quadratic equations with complex solutions and understand the concept of imaginary and real parts of complex numbers.

3. Sequences and series: Students explore arithmetic sequences, geometric sequences, and series. They learn how to find the sum of finite and infinite sequences, as well as understand the concept of convergence.

4. Rational and radical functions: Rational functions involve the ratios of polynomials, and radical functions involve roots and radicals. Students learn how to simplify, graph, and solve equations involving rational and radical expressions.

5. Exponential and logarithmic functions: Students explore exponential functions, including growth and decay, and logarithmic functions. They learn how to solve exponential and logarithmic equations and understand their properties and applications.

6. Conic sections: Conic sections include the study of circles, ellipses, hyperbolas, and parabolas. Students learn to graph and analyze the equations of these curves, including their properties and applications.

7. Polynomial functions: Polynomial functions of higher degrees are explored, including factoring, graphing, and solving polynomial equations. Students also learn about the fundamental theorem of algebra.

Overall, Algebra 3 provides students with a deeper understanding of algebraic concepts and prepares them for more advanced mathematics courses such as calculus and linear algebra.