Question

Find the zeros of the polynomial x-3and varifiedthe relationship between the zeros and the coficient

Answer 1

Hello,

The polynomial is a quadratic polynomial.

So,
Equating the polynomial with Zeroes will give us the desired answer.
So . Equating with the Zeroes

x ²- 3 =0
Or ,
x² = 3
x = plus minus root3

So ,
Zero of the polynomial is root3 and minus root 3

Now
Relation between the coefficients and Zeroes of the polynomial :-

$\alpha + \beta = \frac{ - b}{a} \\ \sqrt{3} - \sqrt{3} = \frac{0}{1} \\ 0 = 0 \\ \\ \alpha \beta = \frac{d}{a} \\ \\ \sqrt{3} \times ( - \sqrt{3} ) = - 3 \\ - 3 = - 3$

Hence,
Verified.

Hope this will be helping you ✌️