Question

Which polynomial is represented by the algebra tiles?

A. 2x2 – 4x – 6
B. 2x2 + 4x + 6
C–. 2x2 – 4x – 6
D. –2x2 + 4x + 6

Answer 1

The correct answer for this question is letter "A. 2x2 – 4x – 6"

Based from the diagram shown, there two positive x^2, there are four negative x and six minus signs. Looking at it and adding all the same terms, you will be able to get the quadratic expression 2x^2 - 4x - 6.

Answer 2

we know that

In the algebra tiles we have

`(x^(2) +x^(2) )+(-x-x-x-x)+(-1-1-1-1-1-1)`

Adding all the same terms

`=(2x^(2))+(-4x)+(-6)\\=2x^(2) -4x-6`

therefore

the answer is the option A

`2x^(2) -4x-6`