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

Trang chủ » F(x)=x^3+3x^2+3x+1 G(x)=x+1 » Use The Factor Theorem To Determine Whether G(x) Is Factor Of F(x)

Có thể bạn quan tâm

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):f(x)=x3+3x2+3x+1,g(x)=x+1Open in AppSolutionVerified by Toppr

Given polynomial f(x)=x3+3x2+3x+1 and g(x)=x+1If x+1 is factor then f(−1)=0Replace x in p(x) by −1 we getf(x)=x3+3x2+3x+1or,f(−1)=(−1)3+3(−1)2+3(−1)+1or,f(−1)=−1+3−3+1or,f(−1)=0So g(x)=x+1 is factor of f(x)=x3+3x2+3x+1

Was this answer helpful?61Similar QuestionsQ1Use the Factor Theorem to determine whether g(x) is factor of f(x):f(x)=x3+3x2+3x+1,g(x)=x+1View SolutionQ2Use 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 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 SolutionQ4

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 [4 MARKS]

View SolutionQ5

Use factor theorem to find whether polynomial g(x) is a factor of polynomial f(x)

f(x) = x5+3x4−x3−3x2 + 5x + 15, g(x) = x + 3

View Solution

Từ khóa » F(x)=x^3+3x^2+3x+1 G(x)=x+1