Question

5. Divide
1) x4-3x2+4x+5 by x2+1-x 2) x3-3x2+5x-3 by x2-2 ​

Answer 1

1) Quotient =
`x^2+x-3`.

Reminder= 8.

2) Quotient = x-3.

Reminder = 7x-9.

Explanation:

The Polynomial division is same as the regular division using long division method.

The quotient and reminder can be either polynomial or number.

1) For
`(x^4-3x^2+4x+5)/(x^2-x+1)` , the quotient is
`x^2+x-3` and the reminder is 8.

2) For
`(x^3-3x^2+5x-3)/(x^2-2)`, the quotient is x-3 and the reminder is 7x-9.

( The steps are uploaded in the image).