Which polynomial is represented by the algebra tiles?

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

Which polynomial is represented by the algebra tiles A 2x2 4x 6 B 2x2 4x 6 C 2x2 4x 6 D 2x2 4x 6 class=

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Hagrid
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.

we know that

In the algebra tiles we have

[tex](x^{2} +x^{2} )+(-x-x-x-x)+(-1-1-1-1-1-1)[/tex]

Adding all the same terms

[tex]=(2x^{2})+(-4x)+(-6)\\=2x^{2} -4x-6[/tex]

therefore

the answer is the option A

[tex]2x^{2} -4x-6[/tex]