Question
I realize that one or maybe both of these problems maybeconsider basic or even pre-algebra. But what I need is a betterexplanation on how to work these problems. I am using the 8th edNumerical Analysis, which is much like the 7th ed that is on thewebsite. I have looked at the solution (if they are posted) andtried to figure out what I am doing wrong. My instructor reviewedit again, but I am still having trouble. Please Help, I always ratemy responses. Here are my two problems- Synthetic Division- (problem given by the instructor) -x3-x2-3x+3=0 Next problem comes from section 2.1, numbers 12 and 19 I will me most grateful for any help and explicit detail isalways a welcome. Rating will reflect.
Explanation / Answer
- x3-x2-3x+3 = 0= x3+x2+3x-3 consider the coefficients of the polynomial . i.e. 1, 1, 3, -3. consider the last term that is the constant term and itsfactors only can provide the factor to the given polynomial. the constant term is -3 which can be written as -1*3 , 1* -3. so, using -1 , 3 , 1 , -3 for synthetic division, but first , by the remainder theorem we can see that f ( 1) , f(-1), f(-3) , f(3) are not zero . so, this polynomial has no integer roots.