Question

x^3-6x^2+8x/x-4 find its quotient​

Answer 1

The quotient is x^2 - 2x

Hope it helps :-)

Answer 2

Step-by-step explanation:

FIRST LETS FACTORISE THE DIVIDEND:

x³-6x²+8x = x( x²-6x+8 )

= x( x²-4x-2x+8 )

= x[ x(x-4)-2(x-4)]

= x(x-4)(x-2)

SEE!!!!! WE HAVE (x-4) AS A FACTOR AND ALSO IT IS THE DIVISOR IN THIS CASE.

SO WE HAVE NO WORRIES LEFT

LETS DIRECTLY DIVIDE AND GET THE ANSWER.

x³-6x²+8x = x(x-4)(x-2) = x(x-2) = x²-2x

(x-4) (x-4)

HENCE THE REQUIRED QUOTIENT IS x²-2x.

ALSO YOU CAN DO THIS BY LONG DIVISION METHOD, BUT THIS IS PRETTY SIMPLE.

PLEASE MARK MY ANSWER AS BRAINLIEST ‍‍.