Question

One root of f (x) = x cubed 10 x squared minus 25 x minus 250 is x = –10. what are all the roots of the function? use the remainder theorem.

Answer 1

x= -10 , x= -5 , x=5

Explanation:

we are given function as

x^3+10x^2-25x-250

We are given one of zero is x=-10

we can find all possible factors of 250

so, we will check zeros at x=-5 and x=5

At x=-5:

we can plug x=-5

At x=5:

we can plug x=5

So, other zeros are

x=-5 and x=5

All zeros are

x=-10 , x=-5 , x=5