Question

Factor the polynomial completely using the X method. x2 + 16x + 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

Answer 1

x2 + 12x+ 4x +48 is the correct answer.

Answer 2

The factorized expression of the polynomial $x^2 + 16x + 48x$ is $(x + 4)(x + 12)$, and the equivalent four-term polynomial is $x^2 + 12x + 4x + 48x$

What is a polynomial?

A polynomial is an expression represented by variables and mathematical operations

The polynomial is given as:

$x^2 + 16x + 48x$

Expand

$x^2 + 12x + 4x + 48x$

Factorize the above expression

$x(x + 12) + 4(x + 12)$

Factor out x + 12

$(x + 4)(x + 12)$

Hence, the factorized expression of the polynomial $x^2 + 16x + 48x$ is $(x + 4)(x + 12)$,

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