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What number should be subtracted from $$2x^3 – 5x^2 + 5x$$, so that the resulting polynomial has $$(2x – 3)$$ as a factor?

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Question

What number should be subtracted from $$2x^3 - 5x^2 + 5x$$, so that the resulting polynomial has $$(2x - 3)$$ as a factor?

Options

  • 2

  • –2

  • –3

  • 3

MCQ
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Solution

3

Explanation:

At the zero $$x = \frac{3}{2}$$, the original polynomial equals $$3$$; subtracting $$3$$ makes the new value zero.

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Chapter 8: Remainder Theorem and Factor Theorem - COMPETENCY-FOCUSED QUESTIONS [Page 129]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 8 Remainder Theorem and Factor Theorem
COMPETENCY-FOCUSED QUESTIONS | Q 24. | Page 129
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