Use Synthetic Division to solve 2x^4-15x^3+35x^2-30x+8=0

Question : Use Synthetic Division to solve 2x^4-15x^3+35x^2-30x+8=0 Solution : To use Synthetic Division to solve 2x^4-15x^3+35x^2-30x+8=0 \[ 2x^4-15x^3+35x^2-30x+8=0 \] (1) Since 2*1^4-15*1^3+35*1^2-30*1+8=2-15+35-30+8=45-45=0 Therefore x =1 is the root of the equation and hence (x-1) will be the factor. Now…

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