Find what must be subtracted from 4y4+12y3+6y2+50y+26 so that obtained polynomial is exactly divisible by y2+4y+2

Asked by nisha_vini29 | 25th Feb, 2019, 03:22: PM

Expert Answer:

4 straight y to the power of 4 plus 12 straight y cubed plus 6 straight y squared plus 50 straight y plus 26 space divided space by space straight y squared plus 4 straight y plus 2
do space long space division
space space space space space space space space space space space space space space space space space space 4 straight y squared minus 4 straight y plus 14
straight y squared plus 4 straight y plus 2 long division enclose 4 straight y to the power of 4 plus 12 straight y cubed plus 6 straight y squared plus 50 straight y plus 26 end enclose
space space space space space space space space space space space space space space space space space 4 straight y to the power of 4 plus 16 straight y cubed plus 8 straight y squared
space space space space space space space space space space space space space space space space space space space space space space space top enclose negative 4 straight y cubed minus 2 straight y squared plus 50 straight y end enclose
space space space space space space space space space space space space space space space space space space space space space space space minus 4 straight y cubed minus 16 straight y squared minus 8 straight y
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space top enclose 14 straight y squared plus 58 straight y plus 26 end enclose
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 14 straight y squared plus 56 straight y plus 28
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space top enclose space space space space space space space space space space space space space 2 straight y minus 2 end enclose
so space we space need space to space subtract space 2 straight y minus 2

Answered by Arun | 25th Feb, 2019, 05:19: PM