1.
W(x)=2x³+8x²-10x=2x(x²+8x-5)=2x(x+4+√21)(x-4+√21)
x²+8x-5=0
Δ=8²-4·1·(-5)=64+20=84 , √Δ=√84=2√21
x1=(-8-2√21)/2
x1=-4-√21
x2=(-8+2√21)/2
x2=-4+√21
x²+8x-5=(x-(-4-√21))(x+(-4+√21))=(x+4+√21)(x-4+√21)
2.
W(x)=2x³-x²-32x+16=x²(2x-1)-16(2x-1)=(2x-1)(x²-16)=(2x-1)(x+4)(x-4)
3.
W(x)=2x^4+54x=2x(x³+27)=2x(x+3)(x²-3x+9)