Math, asked by mahanandaborgohain72, 9 months ago

ne grape
10. If (x-1) is a factor of p(x) = x2 + x + k then find the value of k.​

Answers

Answered by llSecreTStarll
17

\underline{\underline{\blue{\textbf{Step - By - Step - Explanation : -}}}}

To Find :

  • value of k

Solution :

x - 1 is a factor of given polynomial.

x = 1

Substituting value of x in p(x) :-

›› 1² + 1 + k = 0

›› 1 + 1 + k = 0

›› 2 + k = 0

›› k = -2

   \large\dag  \large { \red{\underline{\bf{Hence }}}}

 \underbrace \green{ \star{\textbf{value \: of \: k \: is \:  - 2}}}

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Answered by ItzCuteboy8
100

Given :-

  • If (x - 1) is a factor of p(x) = x² + x + k

To Find :-

  • Value of k

Solution :-

We have,

‘x - 1’ is a factor of given polynomial so, the value of x is ‘1’

Substituting the value of x in p(x),

:\implies\sf1^{2} + 1 + k = 0

:\implies\sf1 + 1 + k = 0

:\implies\sf2 + k = 0

:\implies\sf\underline{\boxed{\blue{\sf k = - 2}}}

Hence, the value of k is - 2.

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