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If $$(3x^3 – 5x^2 + 3x – 7)$$ is divided by $$(x – 2)$$, then the remainder is ______.

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Question

If $$(3x^3 - 5x^2 + 3x - 7)$$ is divided by $$(x - 2)$$, then the remainder is ______.

Options

  • –5

  • 6

  • 3

  • –8

MCQ
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Solution

If $$(3x^3 - 5x^2 + 3x - 7)$$ is divided by $$(x - 2)$$, then the remainder is 3.

Explanation:

Remainder = $$f(2)$$ 

$$= 3(2)^3 - 5(2)^2 + 3(2) - 7$$

$$= 24 - 20 + 6 - 7$$

$$= 3$$

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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 6. | Page 128
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