Find the remainder when x3 – ax2 + 6x – a is divided by x – a.

1.	Find the remainder when x3 – ax2 + 6x – a is divided by x – a.
Answer» When x – a = 0 => x = a P(x) = x³ – ax² + 6x – a Putting x = a Remainder = P(a) = (a)³ – a x a² + 6a – a = a³ – a³ + 5a = 5a P(a) = 5a.

Answer»

When x – a = 0 => x = a

P(x) = x³ – ax² + 6x – a

Putting x = a

Remainder = P(a) = (a)³ – a x a² + 6a – a = a³ – a³ + 5a = 5a

P(a) = 5a.

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Find the remainder when x3 – ax2 + 6x – a is divided by x – a.

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