Question

what is the Relation between zeros and coefficient of a polynomial ​

Answer 1

Step-by-step explanation:

Let

$\alpha \: and \: \beta$

be the zeroes of the polynomial

$a {x}^{2} + bx + c$

Now,

relationship between zeroes and coefficients of a polynomial is:

$\alpha + \beta = \frac{ - b}{a}$

and

$\alpha \times \beta = \frac{c}{a}$

that is,

sum of zeroes = -(coefficient of b)/coefficient of x^2

And also,

product of zeroes = coefficient of c/ coefficient of x^2

HOPE THAT THIS HELP YOU

Answer 2

Step-by-step explanation:

The number of zeroes of a polynomial is equal to the degree of the polynomial, and there is a well-defined mathematical relationship between the zeroes and the coefficients.

hope this helps you sis❤️