Question

Find the zeros with multiplicity for the function p(x) = (x^3 – 8)(x^5 – 4x^3)

Please show steps

Answer 1

x^3 - 8 = 0 Gives us a zero of x = 2

x^5 - 4x^3 = 0 gives another zero of x = 0

x^3(x^2 - 4) = 0 gives 2 more zeros (x^2 = 4 so x = 2, -2)

So the answer is -2, 0 and 2 multiplicity 2