Question

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

Answer 1

Do you know how to find the zeros here?

Answer 2

no do I solve for 0

Answer 3

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?

Answer 4

the zeros are the same values that make any of those product terms = 0

\[(x+\frac{1}{2}) = 0\]\[(x-4)=0\]

Answer 5

do you know what the multiplicity of a zero is?