Question

Divide the following by the synthetic division method. Write the quotient and remainder: (2y^4-3y^2+12) ÷ (y+3)​

Answer 1

Answer:

Synthetic Division :

Divided = y

3

−3y

2

+5y−1

Divisor = y -1

Opposite of -1 = 1

The coefficient from of the quotient is (1 ,-2 , 3)

∴Quotient=y

2

−2y+3 and remainder = 2

Linear Method

y

3

−3y

2

+5y−1

=y

2

(y−1)−2y(y−1)+3(y−1)+3−1

=(y−1)×(y

2

−2y+3)+2