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`
Is there an error in this question or solution?
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.
