Factor the polynomial completely using the x method. x2 16x 48 an x-method chart shows the product a c at the top of x and b at the bottom of x. above the chart is the expression x squared 16 x 48. which equivalent four-term polynomial can be created using the x method? x2 8x 8x 48 x2 – 12x – 4x 48 x2 12x 4x 48 x2 – 8x – 8x 48

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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Answer:

C. x2 + 12x + 4x + 48

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