State each zero and its multiplicity for \(p(x)~=~-2x^2(x~+~3)(2x~-~1)^3\).

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x=0 has multiplicity 1, x=-3 has multiplicity 3, and x=1/2 has multiplicity 2.

x=0 has multiplicity 2, x=-3 has multiplicity 1, and x=1/2 has multiplicity 3.

x=0 has multiplicity 2, x=3 has multiplicity 1, and x=2 has multiplicity 3.

x=0, x=-3, and x=1/2 all have multiplicity 1.

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Curriculum context

Course: Math III
Standard: A-APR.3
Category: Algebra
Domain: Arithmetic with Polynomials and Rational Expressions
Objective: Identify zeros from factorizations and use them to sketch polynomial graphs.
Problem type: Enter each polynomial zero with its multiplicity