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An algebra tile configuration. 0 tiles are in the factor 1 spot and 0 tiles are in the factor 2 spot. 20 tiles are in the product spot: 1 is labeled x squared, 8 are labeled negative x, and 16 are labeled . the geometric model represents a perfect square trinomial. use the drop-down menus to identify the two factors. factor 1 = factor 2 =

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A quadratic equation is written in the form of ax²+bx+c. The factors of the given tile configuration are (x-4).

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

In order to write the algebra tile configuration of the given problem, we need to convert sentences one by one. Therefore, the description can be converted as,

  1. 1 is labelled x squared, x²
  2. 8 are labelled negative x, -8x
  3. and 16 are labelled. 16

Now, adding all the tiles configuration together we will get,

[tex]x^2 - 8x + 16[/tex]

As we got the quadratic equation now, the roots of the quadratic equation can be written as,

[tex]x^2 - 8x + 16 = 0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)(x-4)=0\\\\(x-4^2)=0[/tex]

Thus, the factors of the given tile configuration are (x-4).

Learn more about Quadratic Equations:

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