Question

divided each of the following polynomial by synthetic division method and also by linear regression methods write the kyon 10 and the remainder (2y²+3y³+4y-2y²)÷(y+3)​

Answer 1

Answer:

Synthetic Division :

Divided = y

3

−216=y

3

+0y

2

+0y−216

Divisor = y - 6

Opposite of - 6 = 6

The coefficient from of the quotient is (1, 6, 36)

∴Quotient=y

2

+6y+36 and remainder = 0

Linear Method :

y

3

−216

y

2

(y−6)+6y

2

−216

=y

2

(y−6)+6y(y−6)+36(y−6)+216−216

=(y−6)×(y

2

+6y+36)