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The polynomial (x ^ 2 - 26x - 120) is in the form x ^ 2 + bx + c which can be factored as (x + p)(x + q).Next factor the polynomial x ^ 2 - 26x - 120 . To identify the factors, complete the table: Note: This table does not contain all the factors of-120, but it has enough to let you factor the polynomial.

The polynomial x 2 26x 120 is in the form x 2 bx c which can be factored as x px qNext factor the polynomial x 2 26x 120 To identify the factors complete the ta class=

Respuesta :

It is required to factor the given polynomial by completing the table.

The given polynomial is:

[tex]x^2-26x-120[/tex]

Add the factors listed in the table to complete the table as follows:

Notice that only the sum of the factors 4 and -30 gives the coefficient of x, -26.

Hence, write -26x as -30x+4x to factorize the polynomial as follows:

[tex]\begin{gathered} x^2-26x-120 \\ =x^2-30x+4x-120 \\ =x(x-30)+4(x-30) \\ =(x+4)(x-30) \end{gathered}[/tex]

The answer is (x+4)(x-30).

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