1b57750d-14a0-4024-96cf-2d4848addbcf
prompter
What is polinom in math?
0515ca38-569d-4540-b360-97435d58de79
1b57750d-14a0-4024-96cf-2d4848addbcf
assistant
If you are referring to a polynomial expression in mathematics, then a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. The word polynomial was derived from the term binomial by replacing the Latin root "bi" with "poly" meaning many in Greek.

Do you have anything else you would like to know regarding polynomials?
266f3b77-6f42-4db2-ac4a-834fbd813cf7
0515ca38-569d-4540-b360-97435d58de79
prompter
Could you explain with the math formula?
3faf0f5d-59ce-4879-9c34-4ecc9976cb79
266f3b77-6f42-4db2-ac4a-834fbd813cf7
assistant
Sure. Some examples of polynomials may give some clarity
2x^2 + 5x - 7
6x - 1
11x^3 - x
5x^4 + 9x^3 - 2x^2 + 8x + 3

In these examples, x is the variable, the coefficients are the numbers that appear right before x, and the "powers" are the numbers that appear right after ^

Take for example: 2x^2 + 5x - 7
2 is the coefficient of x^2, 5 is the coefficient of x, -7 is called the "constant" term.
We would speak out this polynomial as "two x to the power of two plus five x minus 7"
People will often say "squared" instead of "to the power of two", and "cubed" instead of "to the power of three".

Let's look at one more of the examples: 5x^4 + 9x^3 - 2x^2 + 8x + 3
Spoken aloud this polynomial would be "five x to the power of four plus nine x cubed minus two x squared plus eight x plus 3"
The coefficient of x^4 is 5, the coefficient of x^3 is 9, the coefficient of x^2 is -2, the coefficient of x is 8, and the constant term is 3.

Do you have any further questions regarding polynomials?
0bc6bf38-06e0-46f3-8b46-b7871807e601
3faf0f5d-59ce-4879-9c34-4ecc9976cb79
prompter
Ok thanks 👍🏼