Unit 5 polynomial functions homework 3 zeros and multiplicity answer key

Positive and negative intervals of polynomials

Zeros of polynomials & their graphs

Learn about the relationship between the zeros, roots, and x-intercepts of polynomials. Learn about zeros multiplicities.

Positive and negative intervals of polynomials

  • School Sweetwater High School
  • Course Title MATH 102
  • Pages 3
  • Ratings 20% (5) 1 out of 5 people found this document helpful

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Name:Unit 5: PolynomialFunctionsDate:January14,2021_Bell:__Homework 3: Zeros andMultiplicityDirections: Name the zeros, their multiplicity, and the effect of the multiplicity on thegraph.1. f(x)= x2(x - 1)^(x+5)2.f(x) = -2x(3x +1)2(x+7)?Zero |MultiplicityEffectZero |MultiplicityEffect3.f(x)=x312x2+35x4. f(x) = 3.x3 – 21x254xZer

oMultiplicityEffectZero | MultiplicityEffect5.f(x) =x4 –16x3+64x26.f(x) = -8x3 –20.x2ZeroMultiplicityEffectZero|MultiplicityEffect7.A polynomial function has a zeros at-1, 2,and 7 (all multiplicity1). Write a functionin standardform that could represent thisfunction.8.A polynomial function has a zeros at 5

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Tags

Zero, polynomial function

How do you find the multiplicity in a polynomial function?

The factor is repeated, that is, (x−2)2=(x−2)(x−2), so the solution, x=2, appears twice. The number of times a given factor appears in the factored form of the equation of a polynomial is called the multiplicity. The zero associated with this factor, x=2, has multiplicity 2 because the factor (x−2) occurs twice.