Question

Factor f(x)=x4+x3-20x2.

List the zeros in order from least to greatest. List any repeated zeros the number of times they are repeated.

Answer 1

Hello from MrBillDoesMath!

Answer:

-5, 0 (multiplicity 2), +4

Discussion:

Let f(x) = x^4 + x ^3 - 20 x^2

Factor x^2 from each term:

f(x) = x^2 ( x^2 + x - 20) = x^2 ( x +5) (x-4)

f = 0 when x = 0 (multiplicity 2) and x = -5 or x = 4

Regards,

MrB