Algebra 2 – Chapter 6 Test Name__________________ Date Period 3

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Name Algebra 2 — Chanter 6 Test Date Period ‘Write each polynomial in standard form. Then classify it by degree and number of terms. 1. 9x% —=2x+3x? Standard Form Degree Terms 2. 4x(x—5)(x+6) Standard Form Degree Terms 3. The table shows data on the number of employees that a small company had from 1975 to 2000. Let 0 represent 1975. Year 1975= 1 1980 | 1985 | 1990 | 1995 | 2000 year 0 #of 60 65 70 60 55 64 Employees a. Find a cubic model for the set of values. b. Use your model to estimate the number of employees in 1998. Solve each equation by graphing. Where necessary, round to the nearest hundredth. 5.-x*+3x+4=0 4. y=x*-3x"=x-3 zeros: zeros: 6. x2—6x+1=0 zeros: ‘Write a polynomial function with rational coefficients in Standard Form with the given zeros. 7.2,3,5 1,-1,1 For each function, determine the zeros and their multiplicity. 9. y=(x-1)*(2x-3) 10. y = 4x*(x +2)* (x+1)

Name Date Period Solve each equation by factoring. 1. (x=1)(x* +5x+6)=0 12. x* =10x* +16x =0 Divide using long division. 13. (2% +13x% +17x+10) + (x +5) 14. (x* +9x% +26x+24) + (x +4) Divide using synthetic division. 15. (2 —4x* +x-5)+(x+2) 16. (2x° —4x+3)+(x—1) Use the Rational Root Theorem to list all possible rational roots for each equation. Which possible solutions work.? 18.x° =2x* —3x+6=0 19. x* =3x* +x-3=0 20. Factor the expression x* + 64. 21. Solve the expression x* — 125 = 0 to find all of the complex roots.

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Algebra 2 – Chapter 6 Test Name______________________________ Date__________ Period__________ 3

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