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Find the Value of K, If 3x – 4 is a Factor of Expression `3x^2` + 2x − K. - ICSE Class 10 - Mathematics

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Question

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

Solution

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

∴ `f(4/3)=0` 

⇒ `3(4/3)^2+2(4/3)-k=0`

⇒ `16/3+8/3-k=0`  

⇒`24/3=k` 

⇒k=8

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Solution Find the Value of K, If 3x – 4 is a Factor of Expression `3x^2` + 2x − K. Concept: Factor Theorem.
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