Question

pls answer me fast I need it urgently​

Answer 1

Answer:

The value of  α²β+αβ² is $-\frac{bc}{a^2}$.

Step-by-step explanation:

If α and β are two zeros of the quadratic equation

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

then

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

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

We have to find the value of α²β+αβ².

$\alpha^2\beta+\alpha\beta^2=\alpha\beta(\alpha+\beta)$

$\alpha^2\beta+\alpha\beta^2=\frac{c}{a}(\frac{-b}{a})$

$\alpha^2\beta+\alpha\beta^2=-\frac{bc}{a^2}$

Therefore the value of  α²β+αβ² is $-\frac{bc}{a^2}$.