Perform the following for the function defined by $f(x)=3 x^{4}-8 x^{3}-6 x^{2}+17 x+6$.
(a) List all possible rational zeros.
(b) Find all rational zeros.
(c) Use the intermediate value theorem to show that there must be a zero between -2 and -1 .
(d) Use Descartes' rule of signs to determine the possible number of positive zeros and negative zeros.
(e) Use the boundedness theorem to show that there is no zero less than -2 and no zero greater than 4 .

Question

Quizplus · Accepted Answer

The Answer of Perform the following for the function defined by $f(x)=3 x^{4}-8 x^{3}-6 x^{2}+17 x+6$.
(a) List all possible rational zeros.
(b) Find all rational zeros.
(c) Use the intermediate value theorem to show that there must be a zero between -2 and -1 .
(d) Use Descartes' rule of signs to determine the possible number of positive zeros and negative zeros.
(e) Use the boundedness theorem to show that there is no zero less than -2 and no zero greater than 4 .

Perform the Following for the Function Defined By f(x)=3x4−8x3−6x2+17x+6f(x)=3 x^{4}-8 x^{3}-6 x^{2}+17 x+6f(x)=3x4−8x3−6x2+17x+6

Perform the Following for the Function Defined By $f(x)=3 x^{4}-8 x^{3}-6 x^{2}+17 x+6$