Question

find the quotient and remainder when x³- 2x²-3 is divided by x-3​

Answer 1

Step-by-step explanation:

For finding the remainder, we need to use remainder theorem.

let p(x)=x

3

−2x

2

+x+1

Hence, to find the remainder on dividing by x−1, we need to equate it to 0 and put that value of x in p(x).

⇒x−1=0

⇒x=1

p(1)=1

3

−2×1

2

+1+1

p(1)=1

Hope this help you

Answer 2

How to find it ?

• Doing it by the long division method

______________________

x-3 ) x^3 -2x^2 - 3 ( x^2 + X + 3

x^3 - 3x^2

___(-)___(+)______

x^2 - 3

x^2 - 3x

_____(-)__(+)_______

3x - 3

3x - 9

__________(-)__(+)____

6

_______________________

Thus , remainder is 6 and the quotient is x^2 +X+3 .