Question

If x -2 is a factors of the polynomial 2 x?+3mx +5 then find the value of m.​

Answer 1

Answer:

-13/6

Step-by-step explanation:

If x -2 is factor of 2x² + 3mx + 5, its value should be 0.

So, let x - 2 = 0

∴ x = 2

Putting x = 2 in 2x² + 3mx + 5,

2(2)² + 3m(2) + 5 = 0

=> 2(4) + 6m + 5 = 0

=> 8 + 5 + 6m = 0

=> 13 + 6m = 0

=> 6m = -13

∴ m = -13/6

Thus, m's value is -13/6.