Question

For which the value of m, x + 3 is the factor of the polynomial x 3 - 2m x + 21?

Answer 1

Answer:

1

Step-by-step explanation:

polynomial: x³ - 2mx + 21 ……(1)

Given, x+3 is the factor of the polynomial

So, the value of the x from the factor will satisfy the polynomial,

Therefore, x+3=0 => x= -3

Substituting the value x in polynomial equation (1), we get, (-3)³ - 2m(-3) + 21=0

=> -27 + 6m + 21=0

=> 6m = 27-21 = 6

=>m = 1