Question

Sum of the zeros of the polynomial-3x²+a

Answer 1

Step-by-step explanation:

Solution:

To find the zeroes of the polynomial:

\implies 3{x}^{2} - 5 \\ \implies 3{x}^{2} = 5 \\ \implies {x}^{2} = \frac{5}{3} \\ \implies x = \pm \sqrt{ \frac{5}{3} }

Zeroes of polynomial 3x^{2} - 5 are -\sqrt{\dfrac{5}{3}} and \sqrt{\dfrac{5}{3}}

To find the sum of zeroes:

\implies - \sqrt{ \frac{5}{3} } + \sqrt{ \frac{5}{3} } = 0

Verification:

We know,

\boxed{\frac{ - Coefficient \: of \: x}{Coefficient \: of \: {x}^{2} }}

= \frac{0}{3} \\ \\ = 0

Hence, the sum of zeroes of polynomial 3x^{2} - 5 is 0.