Write the zeros of the polynomial given below.
f(x)= 1/3x^3 + 2x^2 +x - 10/3 = 1/3 (x+5)(x-1)(x+2)

Question

Write the zeros of the polynomial given below.
f(x)= 1/3x^3 + 2x^2 +x - 10/3 = 1/3 (x+5)(x-1)(x+2)

campbell_st · Answer

since its been factorised all you need to do for the zeros is 
solve

x + 5 = 0

x -1 =0

x + 2 = 0

campbell_st · Answer

well the right hand side of the equation has been factorised 

so that 

f(x) = 1/3(x + 5)(x -1)(x + 2)

if any of the binomials (x+5), (x -1) or (x + 2) is equal to zero then 
then f(x) will be equal to zero. 

this is because you are multiplying 3 binomials if any binomial is zero then the
produce is zero. 

So you are finding the values of x where the function cuts the x- axis... this is where     y = 0... hence the term... find the zeros. 

so all you do is solve 

x + 5 = 0          so x = -5 for it to be true

you need to solve 

x - 1 = 0

and 

x + 2 = 0

hope this helps...

anonymous · Answer

http://www.youtube.com/watch?v=cGaps65Y6lo