pita0001 Messages 18 Reaction score 0 Thread starter Mar 19, 2014 #1 (x+4) (x-2)^3 (x^2+2x-8) would it be -4 multiplicity of 2 and 2 multiplicity of 4?
MarkFL Gold Member MHB Messages 13,284 Reaction score 12 Mar 19, 2014 #2 Yes, that's correct since the quadratic factor is the product of the other two linear factors.
HallsofIvy Science Advisor Homework Helper Messages 42,895 Reaction score 983 Mar 27, 2014 #3 in other words, [tex](x+ 4)(x- 2)^3(x^2- 2x- 8)= (x+ 4)(x- 2)^3(x- 2)(x+ 4)= (x+ 4)^2(x- 2)^4[/tex] as I am sure you realized.
in other words, [tex](x+ 4)(x- 2)^3(x^2- 2x- 8)= (x+ 4)(x- 2)^3(x- 2)(x+ 4)= (x+ 4)^2(x- 2)^4[/tex] as I am sure you realized.