Question

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 .

Answer 1

Answer:

1st one is 4, 2nd answer is (x-4)(x+4)

Answer 2

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

Step-by-step explanation:

Since we have given that

$x^2-16$

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.

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

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