Question

If –5 is the remainder when 3x2
+ mx – 2 is divided by x + 2, then m is

Answer 1

Answer:

Given:-

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

Now:-

f-(-x) (x+2=0 or x= -2)

x= -2

Substituting x= -2:-

$3 \times { - 2}^{2} - 2m - 2 = - 5$

$= 3 \times 4 - 2m - 2 = - 5$

= 12-2m-2= -5

= 10-2m= -5

= 2m=10+5

2m= 15

$m = \frac{15}{2}$

m=7.5