Question

find the quotient and the remainder,when (x^3-12x^2+11x-5)is divided by (x-3)​

Answer 1

Quotient = x^2 -9x -16

Remainder = -53

Step-by-step explanation:

I hope it's helpful

Answer 2

Given :

• x³-12x+11x-5 is a poynomial .

To Find :

• Quotient and Remainder when it is divided by (x-3) .

Solution :

By Remainder Theorem :

$\longmapsto\tt{x-3=0}$

$\longmapsto\tt{x=3}$

Putting x = 3 :

$\longmapsto\tt{{(3)}^{3}-12{(3)}^{2}+11(3)-5}$

$\longmapsto\tt{27-12(9)+33-5}$

$\longmapsto\tt{27-108+33-5}$

$\longmapsto\tt\bf{-53}$

Refer to the attachment

$\longmapsto\tt\bf{Quotient={x}^{2}-9x-16}$

$\longmapsto\tt\bf{Remainder=-53}$