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).

Question

Mathematics

Valeria Herman

28 December, 16:55

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).

+4

Answers (1)

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Luke Ramsey · Answer 1

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

Step-by-step 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)