Question

Find the zeroes of the polynomial 3

2+5x-2 and

verify the relationship between the zeroes and​

Answer 1

Answer:

Please, write the full question!

Answer 2

Explanation:

The given polynomial is

$\quad f(x)=3x^{2}+5x-2$

$\Rightarrow f(x)=3x^{2}+6x-x-2$

$\Rightarrow f(x)=3x(x+2)-1(x+2)$

$\Rightarrow f(x)=(x+2)(3x-1)$

This gives $x=-2,\dfrac{1}{3}$

Sum of the zeroes $=-2+\dfrac{1}{3}=-\dfrac{5}{3}$

Product of the zeroes $=(-2)(\dfrac{1}{3})=-\dfrac{2}{3}$

The given polynomial is

$\quad f(x)=3x^{2}+5x-2$

Sum of the zeroes $=-\frac{5}{3}$

Product of the zeroes $=-\dfrac{2}{3}$

The relations are verified.