Introduction to Polynomials 

Great Idea!

Right

are they?

​@@ChainsawChristmasyes they are

😁

No please come back, math will only get more fun as you go further into it.

No need to laugh coz u can't even make it

A little explanation of the beginning part with the subscripts would help clarify the rest of the video.

Those are subscripts. They are there to show a possible template of the polynomial. n can be any number here example in the quadratic polynomial 2x^2 + 3x +7 , n is 2 .consider it like this x^0 then n= 0 , x^1 then n= 1, when x^n then n= n, n is just a figure to represent any number which is the highest power of the variable in that equation. the subscript just denotes the count of expressions ex: 2x + b has 2 expression surrounding the +, the 2x and the b , so b is the 0th element and 2 the 1st element. Which conveniently also happens to be the power of the variable of the respective coefficients.

I guess those subscripts are just like labels attached to the preceding character, and we don't do any mathematical operation with them. 'a' is not the same in each part of the polynomial, but instead of writing 'a', 'b', 'c' etc., he writes, for example, 'a sub (n-1)', meaning "the factor 'a' that belongs in the part of the polynomial where x is raised to the power (n-1)." Likewise, 'a sub (n-3)' means "the factor 'a' that belongs in the part of the polynomial where x is raised to the power (n-3)." I might be wrong. I wish Dave had explained what they are rather than just throw them in there. It's the first time this brilliant course has me lost.

the next 6 clips are about polynomials!

In PEMDAS, addition and subtraction and multiplication and division are both done left to right. Even if we used your logic it would still be 2 - 14 which is -12 not 12.

Hey there, Real-life applications of polynomials are more common than you might think. Let's break it down: **1. Physics:** When you throw a ball into the air, its height can be modeled by a polynomial function. The equation includes terms for gravity (a constant) and the initial velocity of the ball. **2. Engineering:** Structural engineers use polynomial equations to design bridges, buildings, and other structures. These equations help predict factors like stress, strain, and load distribution. **3. Economics:** In finance, polynomial functions are used to model things like supply and demand curves, cost functions, and revenue functions. This helps businesses optimize their operations and maximize profits. **4. Medicine:** Polynomial equations are used in medical research to model things like growth rates of tumors, drug absorption rates, and population growth of diseases. **5. Computer Graphics:** Graphics software uses polynomial equations to render 3D objects and animations. These equations help determine the shape, position, and movement of objects on the screen. So, whether you're calculating the trajectory of a rocket, designing a skyscraper, or analyzing market trends, polynomials are there, quietly doing the heavy lifting behind the scenes. Hope that clears things up for you!

Done this lesson.

Nineth is nonic Tenth is decic

🤫

This is a math tutorial, chief.