Question

what is the relationship between the zeroes and coefficients of a quadratic polynomial​

Answer 1

$\mathcal\red{\:\:\:\:\:\:\:\:ᴀ᭄nsᴡᴇʀ}$

$a \: quadratic \: polynomial\: is \: in \: form$

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

$\underbrace\mathcal\purple{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: Sum\:of\:zeroes\::-}$

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

$\underbrace\mathcal\purple{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: product\:of\:zeroes\:-}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \pink { \boxed {\alpha \times \beta = \frac{c}{a} }}$

$\mathcal\orange{Please\:mark\:as\:brainliest.....}$

Answer 2

Answer:

Example 4: If α and β are the zeros of ax2 + bx + c, a ≠ 0 then verify the relation between the zeros and its coefficients. Sol. Since a and b are the zeros of polynomial ax2 + bx + c. Therefore, (x – α), (x – β) are the factors of the polynomial ax2 + bx + c