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If 4x^2 – 6x – m is divisible by x – 3, then m = ______.

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Question

If 4x2 – 6x – m is divisible by x – 3, then m = ______.

Fill in the Blanks
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Solution

If 4x2 – 6x – m is divisible by x - 3, then m = 18.

Explanation:

If 4x2 – 6x – m is divisible by x – 3, then by the Remainder Theorem P(3) = 0.

So 4(3)2 – 6(3) – m

= 36 – 18 – m

= 18 – m

= 0

Hence m = 18.

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Chapter 2: Polynomials - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 2.51]

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R.D. Sharma Mathematics [English] Class 10
Chapter 2 Polynomials
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 8. | Page 2.51
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