60 6 points Find the zeros of the polynomial function and st

60 (6 points) Find the zeros of the polynomial function and state the multiplicity of each. f() 4.19 48

f(x)= x⁴-19x²+48

f(x)= x⁴-16x²-3x²+48

f(x)= x²(x²-16) - 3(x²-16)

f(x)= (x²-3)(x+4)(x-4)

To find the zeroes we have to plug f(x)=0

(x + sqrt3)(x-sqrt3)(x+4)(x-4)=0

x=-sqrt3 with a multiplicity of 1

x=sqrt3 with a multiplicity of 1

x=4 with a multiplicity of 1

x=-4 with a multiplicity of 1