Represent the polynomial x2 – 16 geometrically using algebra tiles. The number of zero pairs that will be added to the board is . The equivalent factored form of x2 – 16 is .

Respuesta :

Answer: The equivalent factored form of x²-16 is (x+4)(x-4).

Step-by-step explanation:

Since we have given that

[tex]x^2-16[/tex]

We need to find the number of zeros.

Since it is quadratic equation , so, it has 2 zeroes

Therefore, number of zeroes = 2

Now, we need to factorize the above quadratic equation.

[tex]x^2-16\\\\=(x)^2-4^2\\\\\text{ Now, we will use identity :}"a^2-b^2=(a-b)(a+b)"\\\\=(x-4)(x+4)[/tex]

Hence, the equivalent factored form of x²-16 is (x+4)(x-4).

Answer:

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)