Divide. If the polynomial does not divide evenly, include the remainder as a fraction.

Ask by Mejia Norton. in the United States

Jan 23,2025

Question

Divide. If the polynomial does not divide evenly, include the remainder as a fraction. $$ \left(-18 d^{4}+27 d^{3}+28 d^{2}-20 d\right) \div(d-2) $$

UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ (-18*d^4+27*d^3+28*d^2-20*d)/(d-2) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$\frac{\left(-18d^{4}+27d^{3}+28d^{2}-20d\right)}{\left(d-2\right)}$$
- step1: Remove the parentheses:
  $$\frac{-18d^{4}+27d^{3}+28d^{2}-20d}{d-2}$$
- step2: Factor the expression:
  $$\frac{\left(d-2\right)\left(-18d^{3}-9d^{2}+10d\right)}{d-2}$$
- step3: Reduce the fraction:
  $$-18d^{3}-9d^{2}+10d$$
The result of dividing the polynomial $$ -18d^{4}+27d^{3}+28d^{2}-20d $$ by $$ d-2 $$ is $$ -18d^{3}-9d^{2}+10d $$.
The result of dividing $$ -18d^{4}+27d^{3}+28d^{2}-20d $$ by $$ d-2 $$ is $$ -18d^{3}-9d^{2}+10d $$.

Divide. If the polynomial does not divide evenly, include the remainder as a fraction.

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