Which pairs of polynomials f, 9 € C[X] do have exactly one common root? O f- (X - 1), g = (X + X2+X+ 1)2 O - (X - 1), g = (X + X + X+ 1)* O j - x* - 1,g= x + x2 + X +1 %3D O f- X* - 1,g x3+ X2 + X +1
Which pairs of polynomials f, 9 € C[X] do have exactly one common root? O f- (X - 1), g = (X + X2+X+ 1)2 O - (X - 1), g = (X + X + X+ 1)* O j - x* - 1,g= x + x2 + X +1 %3D O f- X* - 1,g x3+ X2 + X +1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Which pairs of polynomials f, 9 € C[X] do have exactly one common root?
O f = (X – 1), 9 = (X + X2 + X + 1)2
O f - (X - 1)2, g = (X* + X + X + 1)"
O f= x* – 1,g = x + X2 + X +1
O f- X8 - 1, g = X3 + X2 + X +1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65b1e2d8-714f-4bbb-980a-647457c3e45f%2Fc6520ae4-5e79-4f42-ba41-b37b7334f669%2Fpgn7f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which pairs of polynomials f, 9 € C[X] do have exactly one common root?
O f = (X – 1), 9 = (X + X2 + X + 1)2
O f - (X - 1)2, g = (X* + X + X + 1)"
O f= x* – 1,g = x + X2 + X +1
O f- X8 - 1, g = X3 + X2 + X +1
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