Question

If x + 2 is a factor of x3 – 2ax2 + 16, then find the value of a.

Answer 1

Answer:

The value of a is equal to 1.

[for complete solution refer attachment]

Answer 2

Answer:

In the given question a=1.

Step-by-step explanation:

Here in this question, we have been given that x+2 is a factor of x³-2ax²+16 and we are asked to find the value of a.

To find the value of "a" we will first find the value of x from x+2 and then substitute the value of x in the given question.

So, x+2= 0

   = x= -2

Now,

x³-2ax²+16=0

(-2)³- 2a(-2)²+16=0  [substituting the value of x=-2 in the equation]

-8-8a+16=0

-8a=-8

a=1

Hence the value of a in the given question is 1.