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An algebra tile configuration. only the product spot is shown. 9 tiles are in the product spot in 5 columns with 5 rows. first row: 1 x squared, 4 x. below the x squared tile are 4 x tiles. which value is needed in the expression below to create a perfect square trinomial? x2 8x ______ 4 8 16 64

Respuesta :

ashishdwivedilVT

We need 16 in the given expression to create a perfect square trinomial.

Let us say the given expression is:

[tex]x^{2} +8x +k^2[/tex]...............(1)

We can rewrite the above expression as:

[tex]x^{2} +2*x*4 +k^2[/tex].........(2)

What is (a+b) squared?

The square of a+b is a²+2ab+b².

If we compare (2) with [tex]a^{2} +2ab+ b^{2}[/tex]

We get, a =x, b = 4 and k²=b²

Since b=4

So, k² =4²

k² =16

Put the value of  k² in (1)

We get the expression [tex]x^{2} +8x +16[/tex]

Therefore, We need 16 in the expression [tex]x^{2} +8x+....[/tex]to create a perfect square trinomial.

To get more about polynomials visit:

https://brainly.com/question/2833285

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