Find all rational zeros of f. Then (if necessary) use the depressed equation to find all roots of the equation f(c)=0. f(x)=2x^3-3x^2-4x-1

Question

basic concept

Answer 1

I am going to factor out f(x) for you.  I want you to then find the zeros using those factors.

 

We can factor by grouping or using synthetic division.

 

-1/2 |  2       -3       -4       -1

        

                   -1        2         1

_________________________

          2       -4        -2        0

 

 

(2x + 1)(x² - 2x - 1) = 0

 

 

Now use the factors to find the zeros.  You may need to use quadratic formula.