Question

divide polynomial x³ - 7x - 30 by x - 5 using synthetic division method and the quotient and remainder​

Answer 1

Answer:

• Quotient:- x²+5x+18
• Remainder:- 60

Refer To The Attachment for Steps

Verification:-

We know

Dividend=(Quotient×Divisor)+Remainder

here

Dividend= x³-7x-30

QD+R should be same

Let's check whether it's correct or not

[(x²+5x+18)(x-5)]+60

x³+5x²+18x-5x²-25x-90+60

x³-7x-30

L.H.S=R.H.S

hence verified