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6.2B Factors and Zeros of a Polynomial Function

6.2B Factors and Zeros of a Polynomial Function. Finding Zeros. When a Polynomial is in Factor Form, it is easy to find the zeros, or where the graph crosses the x-axis. EX: Find the Zeros of y=(x+4)(x – 3) Graph the function, what do you notice?. Find the Zeros.

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6.2B Factors and Zeros of a Polynomial Function

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  1. 6.2B Factors and Zeros of a Polynomial Function

  2. Finding Zeros When a Polynomial is in Factor Form, it is easy to find the zeros, or where the graph crosses the x-axis. EX: Find the Zeros of y=(x+4)(x – 3) Graph the function, what do you notice?

  3. Find the Zeros Find the Zeros of the Polynomial Function. • y = (x – 2)(x + 1)(x + 3) • y = (x – 7)(x – 5)(x – 3)

  4. Factor Theorem The Expression x – a is a linear factor of a polynomial if and only if the value a is a zero of the related polynomial function.

  5. Writing a Polynomial Function http://www.tubechop.com/watch/1577818 Give the zeros -2, 2, and 3, write a polynomial function.

  6. Writing a Polynomial Function Give the zeros 5, -1, and -2, write a polynomial function. Then classify it by degree and number of terms.

  7. Writing a Polynomial Function Give the zeros 0, -4, and -1, write a polynomial function. Then classify it by degree and number of terms.

  8. Repeated Zeros A repeated zero is called a MULITIPLE ZERO. A multiple zero has a MULTIPLICITY equal to the number of times the zero repeats.

  9. Find the Multiplicity of a Zero Find any multiple zeros and their multiplicity y = x4 + 6x3 + 8x2

  10. Find the Multiplicity of a Zero Find any multiple zeros and their multiplicity • y = (x – 2)(x + 1)(x + 1)2 • y = x3 – 4x2 + 4x

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