Find The Value Of K , If X - 2 Is A Factor Of Polynomial P(x) = X^3 + Kx^2 ...

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard IXMathematicsFactor TheoremQuestionFind the value of k, if x−2 is a factor of polynomial p(x)=x3+kx2+12x−8.
  1. −6
  2. −3
  3. 2
  4. 3
  5. 6
A−3B−6C2D3E6Open in AppSolutionVerified by Toppr

Given polynomial is p(x)=x3+kx2+12x−8 and x−2 is a factor of the given polynomial.So, by using factor theorem we can say that,p(2)=023+k(2)2+12(2)−8=08+4k+24−8=04k=−24k=−6Hence, option A is the correct answer.

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Let r1 and r2 be the remainders when the polynomials

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