5e)++Finding+all+zeros

 Are you ready to begin the quest to find all rational zeros? __WARNING!__: Some zeros may be imaginary! In this section we will be reviewing how to find all the real zeros of a polynomial function, which can be done simply by using the quadratic formula or dividing and factoring. One very basic way of finding //possible// rational zeros of a polynomial function involves using the **Rational Zero Theorem**. Possible rational zeros are found using this theorem by taking any factor of the constant term (the last term in the function) and placing it over any factor of the leading coefficient (the number value of the first term in the function). (Remember they can be +/-). To confirm if any of the possible rational zeros are in fact rational zeros of the function, we use **synthetic division**. We then continue to "water-down" the polynomial function using possible rational zeros of the original function and synthetic division until we come to a 2nd- degree quotient. Finally, we can determine additional zeros by using the **quadratic formula** or solving by square roots. When using the quadratic formula there is a chance that we may come across imaginary zeros instead of rational zeros.

**__*LINKS*__** //For Introduction:// http://www.purplemath.com/modules/rtnlroot.htm

//For Summary:// http://fym.la.asu.edu/~tturner/MAT_117_online/Finding_All_Roots/Finding_All_Zeros.htm

//For Additional Practice on Synthetic Division:// http://www.purplemath.com/modules/synthtrk2.htm

 //For More Practice Problems:// http://edhelper.com/polynomials219.htm



__Below is PowerPoint presentation on finding zeros:__