Question

$4 x^{4} +3 x^{3} +32x+24=0$

Answer 1

$4 x^{4} +3 x^{3} +32x+24=0 \ x^3(4x+3)+8(4x+3)=0 \ (4x+3)(x^3+8)=0 \ 4x+3=0 x^3+8=0 \ 4x=3 x^3=-8 \ x=frac{3}{4} x=-2$