Question

Answer 1

a, \(\left(x^3+12x^2-5x\right):x=x^2+12x-5\)

b, \(\left(-5x^4+15x^3-18x\right):\left(-5x\right)=x^3-3x^2+\dfrac{18}{5}\)

c, \(\left(-x^6+5x^4-2x^3\right):0,5x^2=\left(-x^6+5x^4-2x^3\right):\dfrac{x^2}{2}\)

\(=-2x^4+10x^2-4x\)

Answer 2

a) $(x^3+12x^2-5x):x$

$=x^3:x+12x^2:x-5x:x$

$=x^2+12x-5$

b) $(-5x^4+15x^3-18x):(-5x)$

$=-5x^4:(-5x)+15x^3:(-5x)-18x:(-5x)$

$=x^3-3x^2+\frac{18}{5}$

c) $(-x^6+5x^4-2x^3):(0,5x^2)$

$=-x^6:0,5x^2+5x^4:0,5x^2-2x^3:0,5x^2$

$=-2x^4+10x^2-4x$