Key Words
Monomial- Expression with 1 (one) term.
Binomial-Expression with 2 (two) terms.
Polynomial-An expression consisting of variables, coefficients and operations of addition, division, multiplication and subtraction.
If you are unsure about any of these definitions, refer to chapter 5.
Distributive Property- In the equation, a (b+c) =ab+ac the letters a,b and c are all real numbers.
Binomial-Expression with 2 (two) terms.
Polynomial-An expression consisting of variables, coefficients and operations of addition, division, multiplication and subtraction.
If you are unsure about any of these definitions, refer to chapter 5.
Distributive Property- In the equation, a (b+c) =ab+ac the letters a,b and c are all real numbers.
Multiplying Monomials
![Picture](/uploads/2/8/6/5/28654873/6717091.png?827)
These numbers are all monomials. They all have 1 (one) term.
You can multiply them by using Algebra.
For example, for the expression (5x) (2x), you could solve it by:
Or, you could also solve this problem by using algebra tiles.
You can use x-tiles and x²-tiles to model (5x) (2x)
Each square has an area of (x) (x)= x²
Below is how the model of (5x) (2x) would look like.
You can multiply them by using Algebra.
For example, for the expression (5x) (2x), you could solve it by:
- (5x) (2x)
- (5) (2) (x) (x)
- 10x²
Or, you could also solve this problem by using algebra tiles.
You can use x-tiles and x²-tiles to model (5x) (2x)
Each square has an area of (x) (x)= x²
Below is how the model of (5x) (2x) would look like.
A Quick Review of Polynomials
A polynomial can have:
constants (like 3, -20, or ½)
variables (like x and y)
exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed that can be combined using
addition,
subtraction,
multiplication and
division ...
... except ...
... not division by a variable (so something like 2/x cannot be carried out in a polynomial)
constants (like 3, -20, or ½)
variables (like x and y)
exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed that can be combined using
addition,
subtraction,
multiplication and
division ...
... except ...
... not division by a variable (so something like 2/x cannot be carried out in a polynomial)
Notice that in the picture above there are no negative exponents and no division with a variable.
As you should know, polynomials can be monomials, binomials, trinomials and equations with 4 or more terms.
As you should know, polynomials can be monomials, binomials, trinomials and equations with 4 or more terms.