Dividing Polynomials

When factoring polynomials you have to make sure both the denominator and numerator are both factor out . For example, x^2+2x+1/ (x+1) , the numerator is not factored.After you factor you should have                         (x+1)(x+1)/(x+1). (x+1) / (x+1) becomes 1 and 1 times (x+1) equals x+1 as your final answer.

Factoring Trinomials

When factoring trinomials first make sure your equation is in simplest form. For example x^2+10x+25 , when this is done you have to figure out two numbers that add up to 10 and also multiply to 25. You can list all the common  factors until you find the correct one. For this problem 5 and 5 are the two numbers that add up to 10 and multiply to 25. After this you factor it, since there is x^2 those factor out to x and x the you just add the 5's and your answer will be (x+5)(x+5)

Multiplying Binomials

When multiplying you can use a method called "the box method"., this method is a simpler way  to use the distributive property. 

For Example: in this image we see (x+2)(x+3) . First you multiply 2 and x to equal 2x. Then 2 and 3 to make 6.  Then you multiply x and x to make (x)(x) which can also be said as x squared. After that you multiply x and 3 to make 3x. When your done with this step you end up with 2x+6+x^2+3x, combine like terms and your answer is x^2+5x+6.

Solving Diamond Problems

When solving diamond problems you have to find the numbers that are the product of the greater number and the sum of the smaller  number. For example:

As you can see the two numbers are 12 and 7. We have to find two numbers that when multiplying will equal 12 and when adding equal 7. You can list the factor of 12 to make it easier. Of those factors you have to see which one sums up to 7. 1 +12 and 2+6 does not equal 7 so the answer has to be 3 and 4. Now your finished.

Classifying Polynomials

When classifying polynomials you have to find the number of degrees and the number of terms and name them.

For Example- the polynomial 7x+4 has a degree of 1 and has 2 terms. So you would classify the degree as "linear" and the terms as "binomial".