1. Graphing Polynomials By: Haley Root

2. Step 1 Count the exponents on each parentheses, (find the degree) (x-5) (x+2)^2 (x+4) There would be 4 exponents or the degree would be 4 because there is one exponent on (x-5), two exponents on (x+2), and one exponent on (x+4).

3. Step 2 Find out whether the degree is even or odd. If it is even or odd without a negative in front of the problem then it is known to be “normal.” Ex. (x+4) (x-6) (x+3) this is normal because it has no negative sign. On an even normal then both of your arrows will be point upwards. On an odd normal then the first arrow is facing down and the second arrow is facing up.

4. Step 2 cont. If it is even or odd with a negative sign in front of the problem then it is “un-normal.” Ex. -1(x-4)^3(x+8) this would be un-normal because there is a negative sign in front of the whole problem. On an even un-normal you would flip the both of the arrows, so now they will both be pointing downwards. On an odd un-normal you would also flip both the arrows, so now the first arrow is pointing up and the second arrow is pointing down.

5. Step 3 Next you will plot the points you have on the graph. Then you will determine if the line is going to bounce off, squiggle through, or pass through. If the problem has a 2 or an even number as an exponent then the line is going to bounce off, if the problem has a 3 or an odd number other than 1 as an exponent then the line is going to squiggle through, and if the problem has 1 exponent or doesn’t show one then the line is just going to pass through. Ex: (x+3)^1 or (x+3)- line will pass through Ex: (x-5)^2 or even number- line will bounce off Ex: (x-7)^3 or odd number- line will squiggle through

6. Step 4 The last step is to connect all of the lines together.