Factor the polynomial completely using the X method. x2 + 13x – 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 a x squared + 13 x minus 48. What is the four-term polynomial and factored form of the polynomial? x2 + 7x + 6x – 48 = (x + 7)(x + 6) x2 – 12x + 4x – 48 = (x – 12)(x + 4) x2 + 16x – 3x – 48 = (x + 16)(x – 3) x2 – 16x + 3x – 48 = (x – 16)(x + 3)

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Answer:

Step-by-step explanation:

The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).

Note how 16 - 3 = 13, which is the coefficient of the middle term.  Thus, the factors are

(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.

The factored form of the given polynomial  is (x - 3)(x + 6)

Calculation of the factor:

Since the equation is [tex]x^2 + 13x - 48[/tex]

Now

The four-term polynomial is

[tex]x^2 + 16x - 3x - 48[/tex]

x(x + 16) - 3(x + 16)

(x - 3)(x + 6)

Here polynomial represents the expression that includes the additions, subtraction, etc

Therefore, The factored form of the given polynomial  is (x - 3)(x + 6)

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