Question

Find the remainder when x3 – ax2 + 5x – a is divided by (x – a).​

Answer 1

x – a)x³– ax² + 5x – a(x² +5

x³ -ax²

------------

5x-a

5x-a

---------

0

---------

Answer 2

Answer:

Remainder is 4a.

Explanation:

 

we have,

$\bf \leadsto x^3-ax^2+5x\; is \; divisible \; by (x-a)$

so, x=a

Putting the value of x in equation,

$\mapsto x^3-ax^2+5x - a\\\\\implies \sf a^3-a(a)^2+5a-a\\\\\implies a^3-a^3+5a-a \\\\\implies\sf 4a$

Hence,

Remainder is 4a.