What must be added to polynomial
p(x) = 6x5 + 5x4 + 11x3 - 3x2 + x + 1, so that the
resulting polynomial is exactly divisible by
3x2 - 2x + 4?. (Hint: add - r(x) in p(x))
Answers
Answer:
17x - 3
Step-by-step explanation:
Given polynomial is 6x5+5x4+11x3-3x2+x+1 is divisible by 3x2-2x +4
3x2-2x +4 ) 6x5+5x4+11x3-3x2+x+1 ( 2x3+3x2+3x-3
6x5- 4x4+ 8x3 (substract)
---------------------------------------
9x4+3x3-3x2
9x4-6x3+12x2 (substract)
------------------------------------
9x3-15x2 + x
9x3- 6x2 +12x (substract)
--------------------------------------------
-9x2- 11x + 1
-9x2+ 6x -12 (substract)
---------------------------------
-17x + 13
∴ Additive inverse of -17x + 13 is 17x - 13
Hence 17x - 3 is added to 6x5+5x4+11x3-3x2+x+1,so that the polynomial so obtained is exactly divisible by 3x2-2x +4.
Answer:
17x-13
I have put t in place of x
Step-by-step explanation:
