Question

When we divide y5-9y-12 by y2+3 the remainder is ​

Answer 1

Step-by-step explanation:

f(y)=2y

4

+3y

3

−2y

2

−9y−12

g(y)=y

2

−3

Applying Division algorithm, we get

f(y)=g(y)q+r where q and r are unique integer and 0<=r<g(y).

If r=0, then g(y) is a factor f(y)

Thus,

q=

g(y)

f(y)

2y

2

+3y+4

y

2

−3 2y

4

+3y

3

−2y

2

−9y−12

2y

4

−6y

2

3y

3

+4y

2

−9y

3y

3

−9y

4y

2

−12

4y

2

−12

0

Answer 2

Answer:

y2+3/y5-9y-12=

remainder is -3y2