Unit 4- Equations and Polynomials
This unit is about manipulative's, algebra, one and two step equations, distributive property, variables on both sides, clearing fractions, and verifying solutions.
Monomials, Binomials, Trinomials and Polynomials
- Definitions
- TERM- Parts of an equation separated by addition or subtraction signs.
Example- 4x + 3ty has two terms.
- MONOMIAL- An expression with only one term.
Example- -2xyz
- BINOMIAL- An expression with two terms.
Example- 3ug + 7/2f
- TRINOMIAL- An expression with three terms.
Example- 6j - 2c / v + 5h
- POLYNOMIAL- An expression with four or more terms.
Example- 3c + 4m + 6jk - 5rt
Adding and Subtracting Polynomials
Adding and Subtracting Polynomials
-When adding and subtracting polynomials, you basically just have to combine like terms.
-You can combine terms when the exponent and variable are the same. So 2x can be combined with 4x, but 2x can't be combined with 2x^2. You can combine 2x^2 with 6x^2 though.
-You can combine terms when the exponent and variable are the same. So 2x can be combined with 4x, but 2x can't be combined with 2x^2. You can combine 2x^2 with 6x^2 though.
When subtracting polynomials, remember to keep switch flip. Keep the first set in brackets, switch the subtracting sign in the middle to an adding sign, and flip all the signs in the last equation in brackets.
Multiplying and Dividing Polynomials
-When multiplying and dividing polynomials, use distributive property. This can also be described as the Rainbow method. Multiply all the parts of the second equation by all the parts of the first equation.
Distributive Property
-Dividing polynomials is similar to multiplying polynomials. Instead of having a term to the right, you will have a term below the division line.