Question

find the remainder if 4y^3 - 3y^2 + 2y - 4 is divided by y-2

Answer 1

Answer:

20

Step-by-step explanation:

Using Remainder Theorem:

g(y) = y - 2

g(y) = 0

y - 2 = 0

y = 2

• p(y) = 4y³ - 3y² + 2y - 4
• p(2) = 4(2)³ - 3(2)² + 2(2) - 4
• = 4(8) - 3(4) + 4 - 4
• = 32 - 12
• = 20

Answer 2

Step-by-step explanation:

2y+3 )4y

3

−3y

2

−5y+1( 2y

2

−

2

9

y+

4

17

4y

3

+6y

2

----------------------------------------

−9y

2

−5y

−9y

2

−

2

27

y

----------------------------------------

2

17

y+1

2

17

y+

4

51

y

---------------------------------------------

−

4

47

2y+3

4y

3

−3y

2

−5y+1

=2y

2

−

2

9

y+

4

17

−

4(2y+3)

47