The value of the expression \(\displaystyle{x}^{{4}}-{8}{x}^{{3}}+{18}{x}^{{2}}-{8}{x}+{2}\) when

Magdalena Warren

Magdalena Warren

Answered question

2022-04-08

The value of the expression x48x3+18x28x+2 when x=cotπ12

Answer & Explanation

superpms01wks1

superpms01wks1

Beginner2022-04-09Added 13 answers

Hint:
cot15+tan15=2sin(215)=?
cot15tan15=?
So, cot15,tan15 are the roots of
t24t+1=0
Now we can straightaway divide
x48x3+18x28x+2
by
x24x+1
to find the remainder.
seskew192atp

seskew192atp

Beginner2022-04-10Added 12 answers

The hint
x48x3+18x28x+2=(x24x+1)2+1
and try to solve
x24x+1=0

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