University:
Bradley University
Course:
MTH 109 | College Algebra
Academic year:

2020
Views:

23

Pages:

9
Author:

segolhandworked

16 A polynomial is shown below. . x2 + 2x + ( 24) “ A. Factor the polynomial. \ . XZ + Lx - ^4 (X 4 G f y - H ' ) - lH IL V 4 ^ 6 -w ^ 2.' - te) Qtl • . B. Explain why the polynomial is not the difference of squares • UOJ^ S t f. rtvUOA V / t 5 /. 2 Y A Oa/e.. 3 / C. Use one of your factors from Part A to write a polynomial that is the difference of squares. rs 0 <~2 A -4Xrft * 46 or 58 • Chapter 1: Operations with Real Numbers and Expressions xc - l6 1s o >; i - /C •a ~c/ * I r Constructed Response - A. Add and simplify: (6x2 x + 8) + (3 x - 4) A V . B Multiply and simplify: ( x descending order . - 2|(4x2 + 3x — 2). Show your work and write your answer in -'it ~(o x -t | L . . C Error Analysis: Describe and correct the error made In factoring the equation below 175 x2 - 28 = m - 4 j 2K5 X 7(5x - 2)2 What was incorrect? Why was it Incorrect? How do you correct It? ' ^ 5> ^^ - CA « t. A . rvJr 1%VJORA j,W £ » 1 L Oo r - « f i I Read the problem. Write your answer for each part. . 4 An engineer Is designing a solar panel In the shape of a rectangle. The length and width are described by monomials , as shown In the diagram. 3 - 4 u r H t i IH i t) I I i .A . ! 12xV * II 1 i i BE l i I i' I 3 3 Answer: - B If x = 2 and y = y, what Is the area of the rectangle? Show all your work. « 4 4 * Answer: 32 sstons, Far: Operations with Rea Nusnbers ard Expres Unrf 1 - O tW CiTtrerat F «H, ni DUPUCAT#*G IKS MATEfiAt S ILLEGAL ' Rend the problem. Write your nnswor for each part. 5 The following expressions nil use the same values for n, p, and q. • 3a • 3n simplifies to 3ao . . • -ipr simplifies to 7P. • (4^ • 41)3 simplifies to 4 l B What Is the value of the exponent p? ~ 70 5 * = 7 ) -? ' ' 1 I3> C What Is the value of the exponent q? Answer: D Explain how you found your answers. ^- I ^ i ^ h b Vr^ir ) AvtJ JK c. (+; L 4 Jlo i k . VP * [ yCiJt * fU c, IU n - * 34 +. ru s Unit 1 r t V: O ^Jd-T r ( V o:|L 1 e. yrav. ^ " GUM/ < /; . < Operations with Real Numbers and Expressions, Part 1 © The Continental Press, Inc. DUPLICATING THIS MATERIAL IS ILLEGAL. j Mv. V Read the problem. Write your answer for each part. . 3 A manufacturer makes rectangular blankets In several styles and sizes. The outline of a popular blanket In size A is shown below . $x + 7 cm A Write a polynomlakexgression , in simplified form , that represents the erlmeterm the blanket . ^ \Ox + fs . 1(9 tt 1 Answer: B Write a polynomial expression , In simplified form , that represents th ard of the blanket. | ^ ho^ HiJ * < 1 Answer: 1 56 Unit 2 Operations with Real Numbers and Expressions, Part 2 O me r.wiMw ul Press, Inc DUPLICATING THIS MATERIAL IS ILLEGAL i . J C The same style blanket In size B has width 2x length 4x 10 - . + 10 and Write a polynomial expression , In simplified form, that expresses the difference In area of the blankets A and B. Show all your work. 1 Answer: Unit 2 2.x - isx rm - Operations with Real Numbers and Expressions, Part 2 O The Continental Press, Inc. DUPLICATING THIS MATERIAL IS ILLEGAL 57 Read the problem. Write your answer for each part. 4. A physicist needs to know the values of x for which the trinomial below equals zero . Her first step is to factor the trinomial. * + 1Ox + 24 x A Factor the trinomial. I'l l I V6 V • Answer: B Explain how you found your answer to part A. all V °P ^^ OM. 10 ' C The physicist also needs to factor the trinomial below. x2 - 10x + 24 What Is the factored form of the trinomial? ( x-fc ](x - ^ Answer: I 58 Unit 2 Operations with Real Numbers and Expressions, Part# O The Contk\cnl«l l ea, Iix. " DUPLICATING THIS MATERIAL IS ILLEGAL . ,; 4 D The physicist must factor several trinomials that are all of the form xr mx + n, where m and n are whole numbers greater than zero She wonders if any of these trinomials factor as (pc + a)(x + b) , where a > 0 and b < 0. Is that possible? Explain why or why not —. . X & 2 fa- X. C VO " LJ -e, ^ iVt ^ A. b rs b / 6i\ ^ U ( Unit 2 Operations with Real Numbers and Expressions, Parf 2 1 . C The Caitoenul Preii, Inc DUPLICATING THIS MATERIAL IS IUEGAL 59 . Read the problem. Write your answer for each part. . 5 A manufacturing company uses the expressions below to estimate revenue and expenses based on the production of n units. nz Revenue: 20 - 180 Expenses: 4n2 + 36n + 72 The ratio of revenue to expenses Is given by the rational expression below . - loCo - ^M) 2 20n? - 180 4nJ + 36n + 72 A Factor the numerator and denominator of the rational expression, and simplify if possible. Show your work . _ 1 A(c\ + & £( n ?\ ' _ ~~ -, r\ +4 /!+ £> Answer: n* - 180 B The rational expression 20 is not defined for any 4n3 + 36n + 72 values of n for which the denominator equals zero Find the values of n for which the denominator equals zero . . Answer: C The company accountant says that the rational 20n2 - 180 expression 4n2 36n + 72 will never have a zero denominator + because n, the number of units, is always a whole number Explain why the accountant is correct. . < U4 ~ Co nV-*i -o A 7 cAs, W « co X\ •'t A* 60 - ;• Unit 2 ~ JLU- ** rT C ^ < OK, . Operations with Real Numbers and Expressions Part 2 © Hie Continental Press, Inc. DUPLICATING THIS MATERIAL IS ILLEGAL. 1

Which of These is a Trinomial

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