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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

Sum

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

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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 Concise Maths Class 10 ICSE
Chapter 8 Remainder and Factor Theorems
Exercise 8 (A) | Q 9 | Page 108
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