Solve 2x^3+7x^2-2x-1=o

Step-by-step explanation:

This is a hard one

We have to use the rational root theorem

= 0

We have to find all the factors of a and d and put them in a fraction

We then plug them into the equation to see if any of them work

The equation isn't true when plugging 1, but is true when plugging in 1/2

factored form of 1/2 is (2x-1)

Then we divide the original equation by (2x-1) (you can use synthetic division or long division, it would be hard to type out the process for that) to get

So now the equation is

Solve the second half of this equation using the quadratic formula to get

and

We already know the solution for the first half of the equation (1/2)

So the final answers are:

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,