ind all zeros of the function $$ f(x)=6 x^{3}-25 x^{2}+2 x+8 $$. Enter the zeros separated by commas.

Question

UpStudy AI · Accepted Answer

Solve the equation $$ 6x^3-25x^2+2x+8=0 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$6x^{3}-25x^{2}+2x+8=0$$
- step1: Factor the expression:
  $$\left(x-4ight)\left(2x+1ight)\left(3x-2ight)=0$$
- step2: Separate into possible cases:
  $$\begin{align}&x-4=0\&2x+1=0\&3x-2=0\end{align}$$
- step3: Solve the equation:
  $$\begin{align}&x=4\&x=-\frac{1}{2}\&x=\frac{2}{3}\end{align}$$
- step4: Rewrite:
  $$x_{1}=-\frac{1}{2},x_{2}=\frac{2}{3},x_{3}=4$$
The zeros of the function $$ f(x)=6x^{3}-25x^{2}+2x+8 $$ are $$ x=-\frac{1}{2} $$, $$ x=\frac{2}{3} $$, and $$ x=4 $$.
$$ x=-\frac{1}{2} $$, $$ x=\frac{2}{3} $$, $$ x=4 $$

ind all zeros of the function . Enter the zeros separated by commas.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Algebra Questions