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LB 3054 CS D425 1996 : Jan CURRH1ST January 1996 Mathematics 30 Grade 12 Diploma Examination Liberia EDUCATION Copyright 1996, the Crown in Right of Alberta, as represented by the Minister of Education, Alberta Education, Student Evaluation Branch, 11160 Jasper Avenue, Edmonton, Alberta T5K 0L2. All rights reserved. Additional copies may be purchased from the Learning Resources Distributing Centre. Special permission is g ranted to Alberta educators only to reproduce, for educational purposes and on a n on-profit basis, parts of this examination that do not contain excerpted material only after the administration of this examination. Excerpted material in this examination shall not be reproduced without the written permission of the original publisher (see credits page, where applicable). niversity library iVERSITY OF ALBERTA January 1996 Mathematics 30 Grade 12 Diploma Examination Instructions Description Time: 2.5 h. You may take an additional • Fill in the information required on 0.5 h t o complete the examination. the answer sheet and the examination booklet as directed by the presiding examiner. This is a closed-book examination consisting of three parts: • You are expected to provide your own scientific calculator. Part A has 40 multiple-choice questions • Carefully read the instructions for each part before proceeding. Part B has 9 n umerical-response questions • The presiding examiner will collect your answer sheet and examination Parts A a nd B a re worth 70% of the booklet and send them to Alberta examination Education. Part C • Do not fold the answer sheet. has 3 w ritten-response questions, each worth 10% of the examination A t ear-out formula sheet and a z -score page are included in this booklet. All graphs on this examination are computer-generated. Note: The perforated pages at the back of this booklet may be torn out and used for your rough work. No marks will be given for work done on the tear-out pages. Part A: Multiple Choice 40 Questions Instructions • Consider all numbers used in the questions to be exact real numbers and not the result of a measurement. • Read each question carefully and decide which of the choices best completes the statement or answers the question. • Locate that question number on the separate answer sheet provided and fill in the circle that corresponds to your choice. Example This diploma examination is for the subject of A. biology B. physics C. chemistry D. mathematics Answer Sheet ® ® © • Note: The perforated pages at the back of this booklet may be torn • Use an HB pencil only. out and used for your rough work. No marks will be given for work • If y ou wish to change an answer, done on the tear-out pages. erase all traces of your first answer. Do not turn the page to start the examination until told to do so by the presiding examiner. m Digitized by the Internet Archive in 2016 https://archive.org/details/gjCade12diplomae996albe_14 equal to A. (x + 2 )(3x- l)(2x + 3 ) 1. IBf. P( x( x) - = 2 6 )x( 33x - - 5 xl 2) (2 -x 1 +1 x3 )+ 6 and P(2) = 0 , then the factored form of P{x) is C. (x - 2 )(3x + l)(2x - 3 ) D. (x + 2 )(3x + l)(2x — 3 ) A. 0 B. 12 C. P(- 5) D. P( 5) and (x-1). If the polynomial P(x) is multiplied by -2, then the result is the polynomial H(x ) = - 1 2x3 - 2 x2 + 2 0x - 6 . The zeros of H{x) are A. and 1 2.When th e polynomia l P(x) = x 3 - 4 x2 + 1 2 is divided by x-5, the remainder is B. ^ ^, and -1 C. -3, j , and 2 D. 3, K, and -2 every member of this family may be written as A. P(x) = ax(x - l )(x + 2 )(x + 4 ), <2^0 B. P(x) = a(x - l )(x + 2 )(x + 4 ), a * 0 C. P(x) = ax(x + l )(x - 2 )(x - 4 ), <2^0 D. P(x) = ax 2(x + l)(x - 2 )(x - 4 ), <2^0 3T.he factors of the p olynomial P(x) = 6 x3 + x 2 - l Ox + 3 are (2x + 3 ), (3x - 1 ), 1 4 If -.1, 0, 2, and 4 are the zeros of a f amily of fourth-degree p olynomial functions, Use the following information to answer the next question. bTehleo w g.r aph of a t hird-degree polynomial function P(x ) = ( x - 3 )3 is shown 5. If another polynomial function Q(x ) = k P(x), k > 1 , then the graph of Q{x) must have A. one more x-intercept than the graph of P(x) B. different x-intercepts than the graph of P(x) C. a y-intercept that is g reater than -27 D. a y-intercept that is less than -27 2