adding and subtracting polynomials
monomial by monomial
Always remember your multiplying exponent rules!
To multiply monomial by monomial, you need to multiply the exponents by eachother.
To multiply monomial by monomial, you need to multiply the exponents by eachother.
Polynomial by monomial
Refresh your memory on the distributive property because we need it!
To multiply polynomial by monomial, you will need to use the distributive property.
To multiply polynomial by monomial, you will need to use the distributive property.
Polynomial by polynomial
![Picture](/uploads/9/3/8/1/93819528/example-2_orig.png)
There is more than one way to come across multiplying a polynomial by a polynomial.
Choice 1:
<--- Distributive property
Choice 2: FOIL (picture below)
Choice 1:
<--- Distributive property
Choice 2: FOIL (picture below)
![Picture](/uploads/9/3/8/1/93819528/published/last-thumb1342610478.jpg?1488003006)
Choice 3: Box
![Picture](/uploads/9/3/8/1/93819528/editor/multiplying-polynomials-i-13-728-1.jpg?1488003093)
Dividing a monomial by monomial
![Picture](/uploads/9/3/8/1/93819528/published/topic-4-dividing-a-polynomial-by-a-monomial-4-728.jpg?1488003887)
First, divide the coefficients.
Divide the variables using the rules for exponents.
Then, simplify if possible.
Divide the variables using the rules for exponents.
Then, simplify if possible.
dividing a polynomial by a monomial
First, put each term into its own fractions.
Then, simplify if possible.
Then, simplify if possible.
Systems of equations
Systems of equations are two equations that have the same variables and solution. There are two ways to complete a system.
![Picture](/uploads/9/3/8/1/93819528/03-systems-02_orig.gif)
Choice 1: Elimination
In elimination, you can either add or subtract the equations to get an equation with only one variable.
When the coefficients of one variable are opposites you add the equations to eliminate a variable.
When the coefficients of one variable are equal you subtract the equations to eliminate a variable.
In elimination, you can either add or subtract the equations to get an equation with only one variable.
When the coefficients of one variable are opposites you add the equations to eliminate a variable.
When the coefficients of one variable are equal you subtract the equations to eliminate a variable.
![Picture](/uploads/9/3/8/1/93819528/solution-answer8_orig.gif)
Choice 2: Substitution
In substitution, you have to substitute one equation with another.
You substitute the "y =" equation into the real equation and then solve it regularly.
In substitution, you have to substitute one equation with another.
You substitute the "y =" equation into the real equation and then solve it regularly.