Question

Find the remainder when x³-ax²+6x-a is divided by x-a.
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Answer 1

Answer:

Remainder would be 5a

Explanation:

Given polynomial,

→ x³ - ax² + 6x - a

Which is to be divided by x - a

By remainder theorem,

→ x - a = 0

→ x = a

Substituting ‘x’ in the polynomial,

→ (a)³ - a(a)² + 6(a) - a

→ a³ - a³ + 6a - a

→ 5a

∴ Required answer: 5a