Question

Do both these questions by long division method and also by value putting :-

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Answer 1

Hi ,

1 )

x + 2 ) 3x³ + 3x²+ 3x + 1 ( 3x²-3x+9
*†******3x³ + 6x²
________________
*******†*****-3x² + 3x
*************-3x²- 6x
_________________
*******************9x + 1
*******************9x + 18
__________________
*************************-17

We know the division algorithm:

Dividend=quotient×divisor+remainder

RHS = ( 3x²-3x +9)( x + 2 ) - 17

= 3x³ -3x²+9x + 6x²-6x+18-17

= 3x³ + 3x² + 3x + 1

= Dividend

2 )

x + 1 ) 3x³ - x² -3x + 1 (3x²-4x+1
*******3x³+ 3x²
_______________
***********-4x²-3x
***********-4x²-4x
_________________
******************x + 1
******************x + 1
__________________
********************( 0 )

Quotient × divisor + remainder

= ( 3x²-4x+ 1 ) ( x + 1 ) + 0

= 3x³ + 3x² - 4x² - 4x + x + 1

= 3x³ - x² - 3x + 1

= Dividend

I hope this helps you.

: )

Answer 2

Step-by-step explanation:

HOPE MY ANSWER WOULD BE HELPFULL ......