Question

If - 6 + 6x + k is completely divisible by x – 3, then find the value of k​

Answer 1

Given:

- 6 + 6x + k is completely divisible by x – 3.

To find:

The value of k.

Solution:

1)  - 6 + 6x + k is completely divisible by x – 3, that means

• x-3 =0

• x=3

is the zero of the polynomial - 6 + 6x + k

2) To find the value of k just put the vlaue of x in - 6 + 6x + k

• - 6 + 6x + k = 0
• - 6 + 6.3 + k = 0
• -6 + 18 + k = 0
• 12 + k = 0
• k = -12

So the value of k is -12

Answer 2

Answer:

-6+18+k=0

-12=k

k=-12