Question

Find all other zeroes of the polynomial p(x) = 2x3 + 3x2 – 11x – 6, if one of its zero is –3.

Answer 1

$\textbf{Given:}$

$p(x)=2x^3+3x^2-11x-6\;\text{and one of its zero is -3}$

$\textbf{To find:}$

$\text{All other zeros of p(x)}$

$\textbf{Solution:}$

$\text{Since -3 is a zero of p(x) ,we use sythetic division to find}$

$\text{all other zeros of p(x)}$

$\textbf{By synthetic division,}$

$\begin{array}{r|cccc}-3&2&3&-11&-6\\&&-6&9&6\\\cline{2-5}&2&-3&2&|\,0\end{array}$

$\textbf{Quotient}=2\,x^2-3\,x-2$

$2\,x^2-3\,x-2=0$

$2x^2-4\,x+x-2=0$

$2x(x-2)+1(x-2)=0$

$(2x+1)(x-2)=0$

$\implies\bf\,x=\dfrac{-1}{2},\,2$

$\textbf{Answer:}$

$\textbf{All other zeros of p(x) are \bf\dfrac{-1}{2} and 2 }$

Find more:

Obtain other zeroes of the polynomial

f(x) = 2x4 + 3x3 - 5x2 - 9x - 3

if two of its zeroes are √3 and - √3.​

https://brainly.in/question/15922200

Find all the zeros of of the polynomial 2x^4+7x^3-19x^2-14x+30 if two of its zeroes are root 2 and -root 2

https://brainly.in/question/10701150

Answer 2

Step-by-step explanation:

here is the answer hope it is helpful