find the zeros for each polynomial function and give the multiplicity for each zero f(x)= -3(x+1/2)(x-4)^3

Question

find the zeros for each polynomial function and give the multiplicity for each zero  f(x)= -3(x+1/2)(x-4)^3

whpalmer4 · Answer

Do you know how to find the zeros here?

anonymous · Answer

no do I solve for 0

whpalmer4 · Answer

a polynomial can be written as a product of factors $(x-r_1)(x-r_2)...(x-r_n)$ where $r1...r_n$ are the roots or zeros.  You have
$$f(x) = -3(x+\frac{1}{2})(x-4)^3$$What do you think your zeros are going to be?

whpalmer4 · Answer

the zeros are the same values that make any of those product terms = 0

$$(x+\frac{1}{2}) = 0$$$$(x-4)=0$$

whpalmer4 · Answer

do you know what the multiplicity of a zero is?