Question

Find the value m 3x^2+mX +6 and x = -3

Answer 1

$HEYA \: \\ \\ 3x {}^{2} + mx + 6 \\ this \: Equation \: has \: two \: roots \: viz \\ - 3 \: and \: \alpha \\ \\ \alpha \times - 3 = 6 \div 3 \\ \\ \alpha \times - 3 = 2 \\ \\ \alpha = - 2 \div 3 \\ \\ (\alpha - 3)= - m \div 3 \\ \\ ( - 2 \div 3 \: \: - 3) = - m \div 3 \\ \\ - 11 \: \: = - m \\ \\ m = 11$