HomeworkThe following function is given.f(x) = x³ - 3x² - 4x + 12a. List all rational zeros that are possible according to the Rational Zero Theorem.(Use a comma to separate answers as needed.)Amma

Respuesta :

The rational zeros theorem states that the possible zeros of a polynomial can be found through the division of the factors of the constant term by the leading coefficient factors.

In this case,

the leading coefficient is: 1

The constant term is: 12

The factors for the leading coefficient are: ±1

The factors for the constant term are: ±1, ±2, ±3, ±4, ±6, ±12.

The possible roots are:

[tex]\pm\frac{1}{1};\pm\frac{2}{1};\pm\frac{3}{1};\pm\frac{4}{1};\pm\frac{6}{1};\pm\frac{12}{1}[/tex]

Answer:

-1, 1, -2, 2, -3, 3, -4, 4, -6, 6, -12, 12.

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