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Update Unit 2: Polynomials.md

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James Su 2019-09-04 23:27:22 +00:00
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## Introduction to Polynomials
- A ```variable``` is a letter that represents one or more numbers
- An ```algebraic expression``` is a combination of variables and constants ```(e.g. x+y+6. y + 8)```
- An ```algebraic expression``` is a combination of variables and constants (e.g. $`x+y+6, y + 8`$)
- When a specific value is assigned to a variable in a algebraic expression, this is known as substitution.
## Methods to solve a polynomial
1. ```Combine like terms```
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- An algebraic expression is an expression with numbers, variables, and operations. You may expand or simplify equations thereon.
## Factoring
- Two methods of solving; decomposition and criss-cross. First of all, the polynomial must be in the form of a quadratic
- equation (ax<sup>2</sup> + bx + c). As well, simplify the polynomial, so that all common factors are outside
- (e.g 5x + 10 = 5(x + 2) ).
- Two methods of solving; decomposition and criss-cross.
- First of all, the polynomial must be in the form of a quadratic equation ($`ax^2 + bx + c`$).
- As well, simplify the polynomial, so that all common factors are outside (e.g $`5x + 10 = 5(x + 2) )`$.
|Type of Polynomial|Definition|
|:-----------------|:---------|