Find the remainder when x3 – ax2 + 5x – 3 is divided by (x – a).
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Find the remainder when x3 – ax2 + 5x – 3 is divided by (x – a).
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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,
x – a = 0
x = a
_______________________
p(x) = x³ – ax² + 5x – 3
p(a) = a³ – a(a²) + 5a – 3
p(a) = a³ – a³ + 5a – 3
p(a) = 5a – 3
Reminder = 5a – 3
Therefore, the reminder when (x³ – ax² + 5x – 3) is divided by (x – a) is 5a – 3.