Question

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

Answer 1

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:

`\pm(1)/(1);\pm(2)/(1);\pm(3)/(1);\pm(4)/(1);\pm(6)/(1);\pm(12)/(1)`

Answer:

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