SOLUTION: Show that 𝑥 − 𝑐 is not a factor of 𝑓(𝑥) for any real number. Let 𝑓(𝑥) = −𝑥^4 − 3𝑥^2 −2.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Show that 𝑥 − 𝑐 is not a factor of 𝑓(𝑥) for any real number. Let 𝑓(𝑥) = −𝑥^4 − 3𝑥^2 −2.       Log On


   

Question 1188724: Show that 𝑥 − 𝑐 is not a factor of 𝑓(𝑥) for any real number. Let 𝑓(𝑥) = −𝑥^4 − 3𝑥^2 −2.
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!






Let







Let , then the factors of are:



and



Which is to say:





Similarly the factors of are and



Therefore



John

My calculator said it, I believe it, that settles it

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