y=x^3-2x^2+25x-50 Can someone please help me? I sort of understand it but need the steps and answer. This is a similar question to the real one to have an example. Thanks!

Answer 1

You can either use the factor theorem or long divide to find the roots : )
I would suggest checking when x = 2
This will help you find the first factor : )

Answer 2

Ms Pi 3.1415926358979323Thank you. I don't exactly understand what you're saying though. Is there any way you can start the steps and I try to finish the rest?

Answer 3

You can do grouping which is basically grouping the first two and second two terms.

step 1: (x^3-2x^2)(+25x-50)
step 2: take out any common factors x^2 (x-2) +25 (x-2)
step 3: group the factors together (x^2 +25) (x-2)
step 4: factor everything out

Answer 4

You can group the two first terms and two last terms because the ratios of the coefficients are equal. So treat the problem as y=(x^3-2x^2)+(25x-50) and then factor out an x^2 from the first group and a 25 from the second group and then combine then with what’s left to get (x^2+25)(x-2) and then you get x=2, -5i, and 5i