Question

divide the polynomial f(x) by the polynomial g(x) and find the quotient and remainder f(x)=4x3-3x2+2x+1,g(x)=x2-3x+6​

Answer 1

Answer:

This is the answer quotient and remainder are given below of the answer

Answer 2

Answer :-

Given :- f(x) = 4x³ - 3x² + 2x + 1 ;

g(x) = x² - 3x + 6.

To Find :- Quotient & Remainder.

Solution :-

___________________

x² - 3x + 6) 4x³ - 3x² + 2x + 1 (4x + 9

4x³- 12x² + 24x

- + -

_____________________

9x² - 22x + 1

9x² - 27x + 54

- + -

_____________________

5x - 53

Hence,

The Quotient = 4x + 9 ;

Remainder = 5x - 53.

Division Algorithm :-

Division Algorithm is a division in which degree of Dividend is compares with degree of Divisor to know the quotient.