Question

If alpha and beta are the zeroes of quadratic polynomial p(X) = 3x square - 5x - 2 then evaluate

1) 1/ alpha + 1/beta

2) alpha cube beta + alpha beta cube

Answer 1

$3x^{2} - 5x - 2$
$sum \: of \: zeroes \: = - b \div a \\ \alpha + \beta = 5 \div 3 \\ product \: of \: zeroes \: = \: c \div a \\ \alpha \beta = - 2 \div 3$
$(1) 1 \div \alpha + 1 \div \beta$