Find all the roots (real and imaginary) of the given polynomials. Describe multiplicity when applicable. f(x)=x^4-8x^2-8x+15

CoormaBak9

CoormaBak9

Answered question

2021-09-13

Find all the roots (real and imaginary) of the given polynomials. Describe multiplicity when applicable. Please show all work and simplify your answers.
f(x)=x48x28x+15

Answer & Explanation

sweererlirumeX

sweererlirumeX

Skilled2021-09-14Added 91 answers

Given f(x)=x48x28x+15
The all the roots of the above expression is
X=1
X=3
X=-2+i
X=-2-i
=(x1)(x3)(x+2i)(x+2+i)
=(x23xx+3)(x2+2x+ξ+2x+4+2iξ2i+1)
=(x24x+3)(x2+4x+5)
=(x4+4x3+5x24x316x220x+3x2+12x+15)
=x48x28x+15

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