Question

The two zeroes of a quadriatic Polynomial are -4 and -6 find the sum and producy of zerows what is the value of cofficient b​

Answer 1

Answer:

$\alpha = -4$

$\beta = -6$

$\alpha + \beta = - 4 - 6 = -10$

$\alpha \beta = (-4)(-6) = 24$

As we know that the form of the polynomial is

$P(x) = x^{2} - (\alpha + \beta)x + \alpha \beta$

$P(x) = x^{2} - (-10)x + 24$

$P(x) = x^{2} + 10x + 24$                            (equation 1)

And also the polynomial is of the form

$P(x) = ax^{2} + bx + c$                               (equation 2)

from equation 1 & 2 we get that

=> coefficient of b is 10