Polynomials
Definitions:
Algebra - A branch of mathematics that uses symbols to represent unknown numbers of quantities such as x, and y
Term - An expression formed from the product of numbers and/or variables
9x is a term representing the product of 9 (coefficient) and x, (variable)
A constant value, such as 5, is also a term.
Polynomials - An algebraic expression made up of terms connected by the operations of addition or subtraction
3x²-4 has two terms.
3x² and 4 are connected by the operation of subtraction
Algebra - A branch of mathematics that uses symbols to represent unknown numbers of quantities such as x, and y
Term - An expression formed from the product of numbers and/or variables
9x is a term representing the product of 9 (coefficient) and x, (variable)
A constant value, such as 5, is also a term.
Polynomials - An algebraic expression made up of terms connected by the operations of addition or subtraction
3x²-4 has two terms.
3x² and 4 are connected by the operation of subtraction
Naming Polynomials
Monomial - An algebraic expression consisting of one term
Binomial - An algebraic expression of the sum or difference of two terms
Trinomial - An algebraic expression consisting of three terms
Binomial - An algebraic expression of the sum or difference of two terms
Trinomial - An algebraic expression consisting of three terms
Like terms
Like Terms:
Terms that are differ only by their numerical coefficients
ex:
3x and -2x
6y ² and -4y ²
-5xy and yx
17 and -8
Combining Like Terms
a) 4x - 2x + 3 - 6
2x - 3
b) 4 - x² + 2x - 5 + 3x² - 2x
6x² - 5
Terms that are differ only by their numerical coefficients
ex:
3x and -2x
6y ² and -4y ²
-5xy and yx
17 and -8
Combining Like Terms
a) 4x - 2x + 3 - 6
2x - 3
b) 4 - x² + 2x - 5 + 3x² - 2x
6x² - 5