Question

Divide 4x3 – 3x2 + 2x + 60 by (x + 2) and find the quotient and remainder.

Answer 1

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.

Answer 2

Answer:

Quotient:

$4 {x}^{2} - 11x + 24$

remainder:

$12$

Step-by-step explanation:

Refer the above attachment for clear explanation..

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