Positive and negative intervals of polynomials Show Zeros of polynomials & their graphsLearn about the relationship between the zeros, roots, and x-intercepts of polynomials. Learn about zeros multiplicities. Positive and negative intervals of polynomialsThis preview shows page 1 - 3 out of 3 pages. 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)=x3–12x2+35x4. f(x) = 3.x3 – 21x2–54xZer 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 End of preview. Want to read all 3 pages? Upload your study docs or become a Course Hero member to access this document 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.
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