Question

Find the remainder when x3 – ax2 + 5x – 3 is divided by (x – a).​

Answer 1

Answer:

The reminder when (x³ – ax² + 5x – 3) is divided by (x – a) is 5a – 3.

Step-by-step explanation:

Given polynomial = x³ - ax² + 5x – 3

Divided by = (x – a)

By reminder theorum,

Equate the divisor to 0,

$\longrightarrow$ x – a = 0

$\longrightarrow$ x = a

_______________________

$\longrightarrow$ p(x) = x³ – ax² + 5x – 3

$\longrightarrow$ p(a) = a³ – a(a²) + 5a – 3

$\longrightarrow$ p(a) = a³ – a³ + 5a – 3

$\longrightarrow$ p(a) = 5a – 3

Reminder = 5a – 3

Therefore, the reminder when (x³ – ax² + 5x – 3) is divided by (x – a) is 5a – 3.