Problema Solution
For the polynomial below, list each real zero and its multiplicity. Please be sure to show all of your work. f(x)=5(x^2+7)x^2+6)^2
Answer provided by our tutors
one zero occurs at
x2+7 = 0
x2 = -7
x = +/- sqrt(-7)
x = +/- isqrt(7) these each have multiplicity 1
the other zero occurs at
x2+6 = 0
x2 = -6
x = +/- sqrt(-6)
x = +/- isqrt(6) these each have multiplicity 2 since that part is squared
so the zeros are:
-isqrt(7) multiplicity 1, isqrt(7) multiplicity 1, -isqrt(6) multiplicity 2, isqrt(6) multiplicity 2