Question

divide 6x³+x²-9x+10 by 3x+5​

Answer 1

Answer:

Quotient=2x²-3x+1

Remainder=x+5

Answer 2

Answer:

Step-by-step explanation:

Given that,

Let p (x ) = 6x³ + x² - 9x + 10

And g (x ) = 3x + 5

If g (x ) is a factor of p (x ) ,then 3x+5 = 0 ⇒ 3x = -5⇒ x = -5/3.

Now substituting " x = -5/3 " in p (x ),we get

p ( -5/3) = 6 ( -5/3)³ + ( -5/3)² - 9 ( -5/3) + 10

= 6 ( - 125 / 27 ) + ( 25/9) + (45/3) + 10 (∵ - × - = + )

= (-250 / 9 )+ (25/9) + 15 + 10

= (-250/9) + (25/9) + 25

= - 250 + 25 + 225 / 9

= - 250 + 250 / 9

= 0/9

= 0 is the answer