Zeros and multiplicity. When a linear factor occurs multiple times in the factorization of a polynomial, that gives the related zero multiplicity. For example, in the polynomial , the number is a zero of multiplicity . Notice that when we
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Find each zero by setting each factor equal to zero and solving the resulting equation.
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Identify the Zeros and Their Multiplicities. y = x2 − 3x − 4 y = x 2 - 3 x - 4. Set x2 −3x− 4 x 2 - 3 x - 4 equal to 0 0. x2 − 3x−4 = 0 x 2 - 3 x - 4 = 0. Solve for x x. Tap for more steps x = 4 x = 4
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One way to think about math equations is to think of them as a puzzle. Each piece of the equation fits together to create a complete picture. When one piece is missing, it can be difficult to see the whole picture.
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Polynomials have the property that if r is a zero of the polynomial p (x), then p (x) is divisible by x−r. The multiplicity of a zero is how many times you can divide out x−r from the
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