What is a monomial? ⢠A monomial is. ⢠Examples: o Constant Monomial or Constant. What is a polynomial? ⢠A polynomial is. ⢠Examples: Special...
4.2 Adding and Subtracting Polynomials Let’s get it started. Simplify. 1. 6 x 7 y 4 x
2. 8 12m 6 4m
3. (5a 2b 7)
What is a monomial? A monomial is __________________________________________________________
Examples: ______________________________________________________________ o Constant Monomial or Constant ______________________________________
What is a polynomial?
A polynomial is __________________________________________________________
Examples: ______________________________________________________________ Special Names Name
Definition
Example
Monomial Binomial Trinomial Polynomial
What is a coefficient?
A coefficient is _________________________________________________________.
Examples Circle the coefficient in the given polynomial. 1. 3xy 2
2. x3
3. 2 x 4
Similar Terms and Writing Polynomials in Simplest Form
Two polynomials are similar if ____________________________________________. We might say they are ______________________________________________.
Examples Decide if the given polynomials are similar (or like terms) . 1. 5xy 2 and
xy 2
2. 3x 2 y and
3. 2xy and
1 2 xy 3
15xy
A polynomial is said to be simplified if______________________________________________.
Examples Simplify. 1. 6 x3 3x2 x2 6 x3 5
2. 3x2 5x 2 x x2 4
3. 4m2 5mn2 m2 3mn2
Degree of a Polynomial The degree of a polynomial is __________________________________________________________. Examples Find the degree of each polynomial. 1. 4x3 yz 2
2. 2m4 n 16m3 2n2
3. 6 x3 3x2 x2 6 x3 5
Adding Polynomials Adding polynomials is like adding real numbers. Examples Add. 1. (3x2 y 4 xy 2 2 y3 3) ( x2 y 3 y3 4)
2.
6x
2
x 3 2x x 2 7
Subtracting Polynomials Adding polynomials is like adding real numbers. We ____________________________________________________________________. Examples Subtract. 1. (a2 5ab 4b2 2) (3a 2 2ab 2b2 7)
3 2 3 2 2. (5 y 2 y y 1) (2 y y 4 y 6)