Question

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

Answer 1

Step-by-step explanation:

substitute x=. -2 in above eq we get

(-2)³--2a(-2)²+16=0

-8-8a+16=0

-8a=-8

a=+1

Answer 2

Solution

Given :-

• polynomial is x³ - 2ax² + 16 = 0
• (x+2) is a factor of given polynomial.

Find :-

• Value of a

Explanation

We know,

If (x + 2) is a factor of given polynomial

It means that , Value of x = -2 satisfied of given equation .

So, keep x = -2 in given polynomial .

==> (-2)³ - 2 * (-2)² * a + 16 = 0

==> -8 -8a + 16 = 0

==> 8a = -8 + 16

==> 8a = 8

==> a = 8/8

==> a = 1

Hence

• Value of a will be = 1

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