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When X^3 + 2x ^2– Kx + 4 Is Divided by X – 2, the Remainder is K. Find the Value of Constant K. - Mathematics

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Question

When `x^3 + 2x ^2– kx + 4 `is divided by x – 2, the remainder is k. Find the value of constant  k. 

Solution

Left f(x)=`x^3+2x^2-kx+4` 

x-2=0⇒x=2 

on dividing f (x) by x-2,, it leaves a remainder K. 

∴ f(2)=k 

`(2)^3+2(2)^2-k(2)+4=k` 

`8+8-2k+4=k` 

`20=3k` 

`k=20/3=6(2)/3`

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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 8: Remainder and Factor Theorems
Exercise 8(A) | Q: 9 | Page no. 108

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Solution When X^3 + 2x ^2– Kx + 4 Is Divided by X – 2, the Remainder is K. Find the Value of Constant K. Concept: Remainder Theorem.
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