Question

if alpha and beta are the zeros of the quadratic polynomial FX equal to X square + bx + c then evaluate it ​

Answer 1

Answer:

Given f(x) =

$x ^{2} + bx + c$

We know,

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

$therefore \ \: \alpha + \beta = - b$

Also,

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

$therefore \: \alpha \beta = c$

Now given equation is.,

$\alpha ^{2} \beta + \alpha \beta {}^{2} \\ \\ implies \: \\ \alpha \beta ( \alpha + \beta ) \\ on \: substituting \: we \: get \\ c( - b) \\ = - bc$

Hope it helps.. Pls mark brainliest