Question

Find the value of m, if (x+3) is a factor
of 3x²+ mx+6​

Answer 1

Answer:

m = 11

Step-by-step explanation:

Here's the explanation,

3x^2 + mx + 6 has factor (x+3)

therefore (x+3)=0, x = -3

If we substitute -3 as x in the given equation,the expression would result in 0.

So,

3x^2 + mx + 6 = 0

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

27 - 3m + 6 = 0

33 = 3m

m=33/3= 11

Therefore,m=11.

Hope it helps!