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Show that5x7-7x5+2 isexactlydivisible by(x-1)² and find the quotient.

sanket k , 14 Years ago
Grade 10
anser 1 Answers
AskiitiansExpert Abhinav Batra

Last Activity: 14 Years ago

let f(x)=5x^7-7x^5+2

clearly f(1)=0 and f`(1)=0

So 1 is a double root of f(x).

now knowing that (x-1)^2 is a factor of f(x) you can find the quotient by using simple division

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