Averi was trying to factor 4x^2+20x-164x
2
+20x−164, x, squared, plus, 20, x, minus, 16. She found that the greatest common factor of these terms was 444 and made an area model:


What is the width of Averi's area model?

Respuesta :

Answer:

Width=x ^2 +5x−4

Step-by-step explanation:

The width of Averi's area model will be x ^2 +5x−4.

What is factorization?

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

Let the model be:

[tex]4x^2+20x-16[/tex]

Now, factoring out 4 gives:

[tex]4(x^2+ 5x-4)[/tex]

Then Factorizing the expression in the parentheses gives:

[tex]4(x^2+ 5x-4)[/tex]

Since the expression in the parentheses cannot be factorized further, the expression will be;

Length = 4

Width = x ^2 +5x−4

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