Divide the given polynomial by the given monomial

4(l⁵ – 6l⁴ + 8l³) ÷ 2l²

In the given term

Dividend = (4l⁵ – 6l⁴ + 8l³)

Take out the common part in binomial term

= (2 × 2 × l × l × l × l × l– 3 × 2 × l × l × l × l + 2 × 2 × 2 × l × l × l )

= (2l² – 3l + 4)2l³

Divisor = 2l²

=

= (2l² – 3l + 4)l

= (2l³ –2l² + 4l)

Hence dividing 4(l⁵ – 6l⁴ + 8l³) by 2l² gives out (2l³ –2l² + 4l)