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Find the value of k, if 3x – 4 is a factor of expression 3x2 + 2x − k. - Mathematics

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प्रश्न

Find the value of k, if 3x – 4 is a factor of expression 3x2 + 2x − k.

बेरीज

उत्तर

3x – 4 is a factor of g(x) = 3x2 + 2x − k.

∴ `f(4/3) = 0` 

`\implies 3(4/3)^2 + 2(4/3) - k = 0`

`\implies 16/3 + 8/3 - k = 0`  

`\implies 24/3 = k` 

`\implies` k = 8

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पाठ 8: Remainder and Factor Theorems - Exercise 8 (A) [पृष्ठ १०८]

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सेलिना Mathematics [English] Class 10 ICSE
पाठ 8 Remainder and Factor Theorems
Exercise 8 (A) | Q 4.2 | पृष्ठ १०८

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