Question

Which polynomial represents the algebra tile configuration shown? x2 3x 4 x2 3x â’ 4x â’x2 â’ 7 â’x2 3x â’ 4.

Answer 1

The polynomial which shows algebra tile configuration is $\rm -x^2 + 3x - 4$.

We have to determine

Which polynomial represents the algebra tile configuration shown?

According to the question

Polynomials are defined as the sums of terms that are represented in the form of k-xⁿ, where k is any number and n is a positive integer.

The polynomial represented by algebra tiles is $\rm -x^2 + 3x - 4$

In the given tiles,

2 tiles for = $\rm -x^2$

3 tiles for = x

4 tiles for = -4

Now, putting the like terms together, the equation becomes:

$\rm (x^2+-2x^2) + 3(x+ x+ x ) -(1+1+1+ 1)$

The like terms can be added such that:

$\rm -x^2 + 3x - 4$

Hence, the polynomial which shows algebra tile configuration is $\rm -x^2 + 3x - 4$.

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