Question

the relationship between the zeros and coefficient of the quadratic polynomial ax2 + bx +c​

Answer 1

Step-by-step explanation:

Since we have given that

Quadratic polynomial is

$ax {}^{2} + bx + c$

So, relationship between the zeroes and coefficients of the quadratic equation is given by

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

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

Hence, we get the relation :

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

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