Question

2.Divide each of the following polynomials by synthetic division method and also by linear division method. Write the quotient and the remainder (y3 – 216) ÷ (y – 6)​

Answer 1

Step-by-step explanation:

Synthetic Division :

Divided  = y3−216=y3+0y2+0y−216

Divisor =  y - 6

Opposite of  - 6 = 6

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

∴Quotient=y2+6y+36 and remainder = 0

Linear Method :

y3−216

y2(y−6)+6y2−216

=y2(y−6)+6y(y−6)+36(y−6)+216−216  

=(y−6)×(y2+6y+36)