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Any function in the form of ax2+bx+c=0, where a should not be equal to zero is known as quadratic function. It has its degree as 2, which means highest power of a term in that expression should be 2.

In order to find the possibility or chance or surety of an event we use the concept of probability. It is used to find the chances of occurrence of an event and value of that chance is always in between 0 and 1.

Notation of Probability is PA= number of favourable outome/tatal number of outcomes

Study of the measure of the three sides and their relationship with angles of triangle. In most of the cases trigonometry is applied in only right-angle triangle. sinθ, cosθ, tanθ, etc are some trigonometric ratio.

**Topic: The complex plane**

**(Easy)**

**Question: ****The given complex number is, , draw the complex number on the complex plane.**

**Explanation: **A complex number of form means, it will be unit on real axis, and unit on the imaginary axis.

The horizontal axis on the complex plane is the real axis, and the vertical axis is the imaginary axis.

**Graph: **

The complex number would be 2 units on the real axis, and 2 units on the imaginary axis.

The location of the complex number would be:

**Topic: Adding and subtracting complex number**

**(Medium)**

**Question: ****The given complex number and, , Find the sum of complex numbers such that . And show them on a complex plane as a vector. **

**Explanation: **To** **add the complex numbers, we need to add the real part and imaginary part separately.

**Calculation: **Find

**Graph: **The vector connecting the location of point from origin, would represent the corresponding vectors.

**Topic: Multiplying complex number**

**(Hard)**

**Question: ****The given complex number and, , Find the multiplication of complex numbers such that . And show them on complex plane as a vector. **

**Explanation: **We can multiply the complex number using distribution. Also, we know

**Calculation: **Find

**Plug**

**Graph: **Plot each vector on the complex plane.

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Algebra 2 is the third math course introduced in high school after algebra 1 course. It is also known or referred as intermediate algebra and college algebra. Algebra 2 is considered as a core math course and most of the states in united states including Washington, D.C. has made Algebra 2 a required course for high school graduation.

Normally after algebra 2, Students can move to other advanced math concepts such as pre-calculus and then calculus. Algebra 2 questions are also a part of the SAT exam syllabus.

Algebra 2 has a lot of real-life applications and solving algebra 2 problems can become easy if teachers connect the problems with real world situations. For example - Exponential equations are used widely in day-to-day life for solving savings or loan situations.

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The third Math course in high school is called Algebra 2. It builds on knowledge and skills used while studying Algebra 1. It is taught in 11th grade and focuses on exponentials and logarithmic functions. Students also call it “College Algebra”.

It covers the following topics:

- Complex numbers
- Polynomial graphs
- Logarithms
- Modeling

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Only if you are not clear with your basics of Algebra 1, you will find Algebra 2 quite hard. As the foundation of this course is built upon the principles you learnt in Algebra 1, you need to have a solid base as such. But you will not find it tough if you revise old topics and continue to expound on them while solving new problems.

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Students learn a lot in Algebra 2 specifically they get well-versed in tools modelling the real world. Here your understanding of functions and real numbers is extended.

The learning outcomes include:

- Evaluate different problems
- Factor a polynomial function
- Analyze a function rule
- Solve expressions

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Algebra 2 covers the following topics:

- Complex numbers
- Exponential models
- Polynomial division and factorization
- Rational exponents

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To pass in Algebra 2 you must follow these steps:

- Focus on conceptual understanding
- Relate to real life activities
- Address your difficulties as soon as they arise
- Write down important formulas
- Attend all classroom lectures
- Take additional help from multiple resources
- Practice old questions and exam papers
- Solve your worksheets

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