KatharinaQ720927 KatharinaQ720927

27-10-2022
Mathematics

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solve this polynomial using factor by grouping x³+2x²+4x+8=0 show work

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AlephI168312 AlephI168312

27-10-2022

x³+2x²+4x+8=0

Rearrange

x³ + 4x + 2x²+ 8 = 0

x ( x² + 4 ) + 2( x² + 4) = 0

(x + 2) ( x² + 4) = 0

The factors are;

(x + 2) (x² + 4)

(x²+ 4) can further be simplified to give (x- 2i) (x + 2i)

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