What should be the value of a,in the polynomials x^2-11x+a and x2-14x+2a so that these two polynomials have common factors.
a) 24 b)1 c)-1 d)1/2

• a=24, then polynomials will become
  
  x^2-11x+24 and x^2-14x+48
  which can be written as
  (x-8)*(x-3) and (x-8)*(x-6)
  
  (x-8) is common factor.
• 13 years agoHelpfull: Yes(19) No(2)
• For this question going through the option will be the correct procedure.
  first put a=24
  the 2 equations solved and get the common factor 8.
  by putting a=1,-1,1/2
  it will not be factorised easily and eventhough factorising therw will be no common term found out.
  Hence definetly 24 will be the answer
• 9 years agoHelpfull: Yes(2) No(0)
• d)1/2
  3x=a then 2a=6x
• 5 years agoHelpfull: Yes(0) No(0)