Question

Represent the polynomial x2 – 16 geometrically using algebra tiles. The number of zero pairs that will be added to the board is24 816 . The equivalent factored form of x2 – 16 is(x – 16)(x + 1)(x – 4)(x – 4)(x + 4)(x + 4)(x – 4)(x + 4) .

Answer 1

The number of zero pairs that will be added to the board is

✔ 4

The equivalent factored form of x2 – 16 is

✔ (x – 4)(x + 4) (D)

.

Answer 2

Fourth option: (x-4)(x+4)

Explanation:

x^2-16

Using a^2-b^2=(a-b)(a+b) with:

a^2=x^2→sqrt(a^2)=sqrt(x^2)→a=x

b^2=16→sqrt(b^2)=sqrt(16)→b=4

Then:

x^2-16=(x-4)(x+4)