Question

For what value of m is (x-3) a factor of the polynomial 3x3 – mx2 +x+6​

Answer 1

$= 3 {x}^{3} - {mx}^{2} + x + 6$

$x - 3 = 0$

$x = 3$

$Put \: value \: of \: X \: in \: Above \: Equation \\ \: we \: will \: get \: \:value \: of \: M$

$= 3 {(3)}^{3} - {m(3})^{2} + 3 + 6$

$= 3 \times 27 - 9m + 9$

$= 81 - 9m + 9$

$= 90 - 9m$

$9m = 90$

$m = \frac{90}{9}$

$m = 10$