Math, asked by pallavidevadiga08, 1 year ago

If alpha and beta are zerors of polynomial f(x) =ax^2+bx+c then evaluvate alphasquarebeta + alphabetasquare..

Answers

Answered by Anonymous
1

Heya

f(x) = ax {}^{2}  + bx + c \\  \\  \alpha  +  \beta  =  - b \div a \\ and \\   \alpha  \times  \beta  = c \div a \\  \\   \alpha  {}^{2} \times  \beta   +  \beta  {}^{2}  \times  \alpha  =  \alpha  \beta ( \alpha  +  \beta ) \\  \\  \alpha  {}^{2}  \times  \beta  +  \beta  {}^{2}  \times  \alpha  =  - bc \div a {}^{2}

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