English

When $$f(x) = x^3 + ax^2 + 2x + a$$ is divided by $$(x + a)$$, then the remainder is ______.

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Question

When $$f(x) = x^3 + ax^2 + 2x + a$$ is divided by $$(x + a)$$, then the remainder is ______.

Options

  • 0

  • –a

  • a

  • 3a

MCQ
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Solution

When $$f(x) = x^3 + ax^2 + 2x + a$$ is divided by $$(x + a)$$, then the remainder is –a.

Explanation:

The remainder is f(–a) = –a3 + a3 – 2a + a = –a.

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Chapter 8: Remainder Theorem and Factor Theorem - COMPETENCY-FOCUSED QUESTIONS [Page 128]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 8 Remainder Theorem and Factor Theorem
COMPETENCY-FOCUSED QUESTIONS | Q 8. | Page 128
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