Question

The largest interval for which x^12 - x^9 - x^4 - x + 1 > 0 is

Answer 1

Please Mark it brainliest answer please

here is your answer

My try:: Using Interval method::

∙∙If x≤0x≤0, Then x12−x9+x4−x+1>0x12−x9+x4−x+1>0

∙∙If 0<x≤10<x≤1, Then x12+x4.(1−x5)+(1−x)>0x12+x4.(1−x5)+(1−x)>0

∙∙If x>1x>1, Then x9.(x3−1)+x(x3−1)+1>0x9.(x3−1)+x(x3−1)+1>0

So the expression x12−x9+x4−x+1>0∀x∈Rx12−x9+x4−x+1>0∀x∈R

My question is How can I solve Using A.M≥G.MA.M≥G.Mmethod. or How can I complete the

square so that the expression is >0>0

Thanks