What is the factored form of x2 – 6x – 16? (x – 4)(x – 2) (x 4)(x – 2) (x – 2)(x 8) (x – 8)(x 2)

Option D is correct

factored form of the given equation is; (x+2)(x-8)

Explanation:

The given quadratic equation is :

Now, to convert this quadratic equation into factored form;

So, r and s must satisfy:

r+s=b

rs =c

Now, we are looking for a pair of numbers whose product is -16 such as (4,−4), (1, -16), (2, -8). They also have to add up to  -6.

The only choice that satisfies both is (2 , -8).

then;

=

or

=

Now taking (x-8)  common we get;

=

therefore, the factored form of the is;