Respuesta :
The equivalent four-term polynomial which can be created using the x method is,
[tex]x^2 +12x +4x+ 48[/tex]
How to find factor of polynomial using X method?
The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result. X-method is the method to find the factors of the polynomial equation.
The polynomial equation is given as,
[tex]x^2 +16x +48[/tex]
An x-method chart shows the product a c at the top of x and b at the bottom of x for the standard polynomial equation. The standard polynomial equation can be given as,
[tex]ax^2+bx+c[/tex]
Comparing the given equation with standard polynomial equation, we get,
[tex]a=1\\b=16\\c=48[/tex]
The x method chart is attached below for the given equation.
The terms 16 x can be divided into the two terms 12x and 4x using the X-method. Thus the equation will become,
[tex]x^2 +12x +4x+ 48[/tex]
Thus, the equivalent four-term polynomial which can be created using the x method is,
[tex]x^2 +12x +4x+ 48[/tex]
Learn more about the X method here;
https://brainly.com/question/24379507
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