What are the possible rational zeros of f(x) = 3x4 + x3 - 13x2 - 2x + 9?

Rational roots theorem states that any rational root will be a factor of the constant over a factor of the leading coefficient.
The given equation is: f(x) = 3x^4 + x^3 - 13x^2 - 2x + 9. In this case, it is a factor of 9 over a factor of 3. 

Factors of 9: ±1, ±3, ±9 
Factors of 3: ±1, ±3 

So possible rational roots are: ±1, ±3, ±9, ±1/3

Answer: d. 39 cmin the diagram, the approximate length of the minor arc de is 39 centimetres.step-by-step explanation: the formula for the length of an arc in a circle is as displayed below.let the length of the minor arc de = xx = 2( pi )r × angle of sector / 360°from this, we will substitute the values given from the problem into the formula to obtain the length of the minor arc de.x = 2( pi )r × angle of sector / 360°r = radius = 25cmpi as an approximate value = 3.14angle of sector = 120°x = 2( 3.14 )( 25 ) × 120° / 360°x = 157 × 1 / 4x = 39.25x = 39 ( rounded to the nearest whole number as an approximate value )