A polynomial is made up of variables, constants and exponents using the operations of Bedmas.
An example of a polynomial is 3x3(2y-27) + 6x.
A monomial is a polynomial with only 1 term.
A binomial is a polynomial with 2 terms.
A trinomial is a polynomial with 3 terms.
The terms can have multiple variables and exponents and they are split up by a mathematical operation.
A coefficient is the number before the variable. (9y3) coefficient=9
The degree is all the exponents on a variable in a term, added up. (The highest power) 5x2yz + 5y4x. Degree= 5 (4<5)
The constant is the number that does not have a variable attached. (By itself) 4xy-5. Constant = -5
To solve a polynomial, you group together all the alike terms: 5xy2 + 2x – 6y – 4xy2 + 8 – x -3
You add together the xy2 ‘s and the x’s and the constants and the polynomials should look like: xy2 + x – 6y + 5
If you want to make sure that you, did it right, you change the variables to numbers (x=3, y=2) and see if you get the same answers for both equations.