Question

If alpha and beta are zeroes of a polynomial ax^2+Cx +c then evaluate alpha ^2 beta + alpha beta^2

Answer 1

hope it helps

regards
Mohit Khairnar

Answer 2

$given \\ \alpha \: and \: \beta \: are \: zeroes \: of \: polynomial \\ have \: to \: find \: out \: { \alpha }^{2} + { \beta }^{2} \\ so \: according \: togiven \: quadratic \: eqn \\ \alpha + \beta = \frac{ - b}{a} \\ \alpha \beta = \frac{c}{a} \\ have \:taen \: equation \: is \: a {x}^{2} + bx + c \\ { (\alpha + \beta )}^{2} = { \alpha }^{2} + { \beta }^{2} + 2 \alpha \beta \\ \frac{ {b}^{2} }{ {a}^{2} } - 2 \frac{c}{a} = { \alpha + { \beta }^{2} }^{2}$
hope this will help you.