1) Quotient = [tex]x^2+x-3[/tex].
Reminder= 8.
2) Quotient = x-3.
Reminder = 7x-9.
Step-by-step 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 [tex]\frac{x^4-3x^2+4x+5}{x^2-x+1}[/tex] , the quotient is [tex]x^2+x-3[/tex] and the reminder is 8.
2) For [tex]\frac{x^3-3x^2+5x-3}{x^2-2}[/tex], the quotient is x-3 and the reminder is 7x-9.
( The steps are uploaded in the image).