Question

find zeroes of polynomial 6xsquare-17x+7 and verify relationship between zeroes and coefficients

Answer 1

$6 {x}^{2} - 17x + 7 = 0 \\6 {x }^{2} - 3x - 14x + 7 = 0 \\ 3x(2x - 1) - 7(2x - 1) = 0 \\ (3x - 7)(2x - 1) = 0 \\ 2x - 1 = 0 \\ 2x = 1 \\ x = 1 \div 2 \\ 3x - 7 = 0 \\ 3x = 7 \\ x = 7 \div 3$