Use The Factor Theorem To Determine Whether G(x) Is Factor Of F(x) In ...

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Standard IXMathematicsFactor TheoremQuestionUse the Factor Theorem to determine whether g(x) is factor of f(x) in each of the following cases:f(x)=x3−4x2+x+6,g(x)=x−2Open in AppSolutionVerified by Toppr

Given polynomial f(x)=x3−4x2+x+6 the factor of g(x)=x−2If x-2 is factor then x-2=0 or x=2Replace x in p(x) by 2 we getf(x)=x3−4x2+x+6 f(2)=(2)3−4(2)2+(2)+6⇒f(2)=8−16+2+6⇒f(2)=0So f(x) is zero by g(x) =x-2 then g(x)=(x-2) is factor of f(x)=x3−4x2−x+6

Was this answer helpful?24Similar QuestionsQ1Use the Factor Theorem to determine whether g(x) is factor of f(x) in each of the following cases:f(x)=x3−4x2+x+6,g(x)=x−2View SolutionQ2Use the Factor Theorem to determine whether g(x) is factor of f(x):f(x)=x3+3x2+3x+1,g(x)=x+1View SolutionQ3

Use the factor theorem to determine and state whether g(x) is a factor of p(x) in each of the following cases:

p(x)=x3+3x2+3x+1,g(x)=x+2View SolutionQ4Use the Factor Theorem to determine whether g(x) is a factor of p(x) p(x)=x3−4x2+x+6,g(x)=x−3 View SolutionQ5Question 2 Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases: (i)p(x)=2x3+x2−2x−1,g(x)=x+1 (ii)p(x)=x3+3x2+3x+1,g(x)=x+2 (iii)p(x)=x3−4x2+x+6,g(x)=x−3View Solution

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