Determine if x+3 is a factor of -3x^3+6x^2+6x+9. How do you know?
A. yes because the remainder is 126
B. no because the remainder is -108
C. yes because the remainder is -108
D.no because the remainder is 126

Question

Determine if x+3 is a factor of -3x^3+6x^2+6x+9. How do you know? 
A. yes because the remainder is 126
B. no because the remainder is -108
C. yes because the remainder is -108
D.no because the remainder is 126

maheshmeghwal9 · Answer

If f(x) is a polynomial & (x-a) is a factor of f(x); then f(a)=0
                                                                                   
                                                                                      -------REMAINDER THEOREM.

maheshmeghwal9 · Answer

if (x-a) isn't a factor then $$f(a)\neq0.$$

maheshmeghwal9 · Answer

so put x=-3 in ur polynomial & see what do u get
the value which will u get will be the remainder if it is 0, then it is a factor otherwise nt.

anonymous · Answer

so the answer is D?

maheshmeghwal9 · Answer

Sorry wait a minute
I was offline for sometime & was doing something else:)

maheshmeghwal9 · Answer

yes it is D.)
Well Done:)

anonymous · Answer

yay

maheshmeghwal9 · Answer

^_^