Question

Find the value of m, if (x – 2) is a factor of 3x2

– mx – 6 .
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Answer 1

Answer:

x-2=0

x=2

3x2-mx-6=0

putting the value of x

3×4-m2-6

12-2m-6=0

12-6=2m

6=2m

m=3

Answer 2

(x-2)

By remainder theorem

x-2=0

x=2

putting x=2 in equation.

3(2)2-m(2)-6=0

3×4-2m-6=0

12-2m=6

2m=6-12

m= 3