Question

 If (x-3) is a factor of the polynomial 3x³-mx²+x+6, then find m.​

Answer 1

Answer:

m = 10

Step-by-step explanation:

$f(x) = 3 {x}^{3} - m {x}^{2} + x + 6 \\ g(x) = x - 3 \\ = )zero \: of \: the \: polynomial \: g(x) \\ = )x - 3 = 0 \\ = )x = 3 \\ by \: factor \: theoram : - \\ = )f(3) = 0 \\ = )( 3 \times( {3})^{3} ) - (m \times {3}^{2} ) + 3 + 6 = 0 \\ = )(3 \times 27) - (9m) + 9 = 0 \\ = )81 - 9m + 9 = 0 \\ = )90 - 9m = 0 \\ = )90 = 9m \\ = )m = 10$

Hope It helped