Question

find the remainder when f(x)=12x³-13x²-5x+7 is divided by (3x+2)?

Answer 1

Hi ,

It is given that ,

f( x ) = 12x³ - 13x² - 5x + 7

If f ( x ) is divided by ( 3x + 2 ) then the

remainder is f ( -2/3 ).

f ( -2/3 ) = 12( -2/3 )³ - 13(-2/3 )² - 5( -2/3 ) + 7

= 12 ( - 8/27 ) - 13 ( 4/9 ) + 10/3 + 7

= - 32/9 - 52/9 + 10/3 + 7

= ( -32 - 52 + 30 + 63 )/9

= ( - 84 + 93 )/9

= 9/9

= 1

Therefore ,

required remainder = 1

I hope this helps you.

: )

Answer 2

When 12x³ - 13x² -5x + 7 is divided by 3x +2 the remainder is :