一四十月二十朱午丙唇到
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何比亞及乒乓球單打 日本月北二日在校銀行名方婦雲(英中 月底的台完事,並於數,英中三五千般 加者衆,故出至三B ), 第二名張少
濱,係採取淘汰制的,,第三名鄭志光( 一学期之全校訓際撩名陵錬燕(英中一C 各顯活動。太年段第一英中二F),第二 小B 女子組
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打黨外邦組第一名榭明餐聚會
第二名李永斌、英中
北洋〔英中四AC,
英中二C),第二名次之午在聚會 j愫三名李姓煞〔天朗可知該會否資料 ROKEND) SCIENCE-E
HA)-BINEX KENGUSIC
“乙果幣一名何解果(吉斯汗摩行两月 (K1)EXSCHE
1)RKER NURK
英文中學會考試題預習專檔 四
數學科 (+=) ·歐陽鎰文·
MATHEMATICS (13)
LESSON 13
FACTORISATION (CONTI If two or more integral expressions gave a product equals to another given expression. then these integral expressions are called FACTORS of the given expression, And the process of find ing factors in called APSOLUTION into factors, or FACTORISATION. Resolution into factors is an inversa operation and is arrer
r multiplic
Any two or more ex- from the direct operation or
and their product can bo pressions can be multiplied together masily found. But in general, an algebraical expression written down at random, has no simple factor. For example, 3x+4 cannot be expressed as the produnt of two simple expressions { ocuer
Wian unity and the expression itself j.
Again, there is no general method of factorisation. In multi-
plication, we have a definite process which always gives us the
product. But, in order to factorise a given expression, we have
to learn a number of special devices. It should be noted that
mon one factor of an expression is known, the other factor (a) 7an elso be obtained by division.
1, Expression in which cach term has
Example 1: Resolve 7Q3⁄4- 5a*x*
monomial factor
into factors.
5a2*+ 350′′x
F, The Sum or
Example & Factorise
PAZI
two cubes:
Solution · Exp. = (x^)* +<y
NOTE for the expression
Ther
Then Gwas of
uny positive integer.
even positive mig
positive integer
("+y^ = (2 + y) (2^"" - 2" J + d
7. By the Factor Theorem ;)
We have proved in last lesson ( Kemainder that
National integral function F(x, is div
by
the remainder R= F(hs - In particuli
then F(X) is exactly divisible
INBARCKEMON) (E)
次無情該
英文中
FAR =
factorise 30x*+ Solution Let F(x)= Jox
shown, F(±)-Fed)=F(!) =>
2x+1 3+i and sx-1 are factors of F(X).
In other word; x-h is a tactor of F(x) In more general, let F(X) be any
integrat function, and
F(-1)=~} then RI+h is factor at F(1) This is what we calle the FACTOR,
THEOKEM Example 2
英文科
30 4
of
36
actoys
sion he degre
Solution Exp =
Example 2 Evaluate by using factors, & 16 34 + 4 of 166. Solution:
†9 ( 1634 +166)
of 1800
B, Expression in which the term
groups which have a commer factor Example 3 Factori
Salution
(a) alb-3)+4(3-6)
có 6 các bờ fcd
NOTE) AN EXON
Which Is
calle
pect
kind of
Exp = a[b+c) - di Impossible to resalux
factor
Hate in In (b),
lis As a general rule it
select
WHER wer possib!
to the first power.
xpression in quadratic form ax' +6x+ nsider the identity
Hence
which, we find
a=ln
b= mnt p
necessary.
replace
such that is mn
It is advisible that you should do your working this stage, systematically and
Example 4
Factorise 42-15 +162 Exp = -(4-162+15,
Examples
Exp
- [42* - 10x ~64 +15] ~[21(21-5) - 3(34 −5)]
changi
thind-power:
cyclic expression with Such an interchange of
led a cyclic interchange. This should always b
factor
Theorem
good
дюць
The following Kints may help you to factorise any gavez, algebr-
1′′Erits down first the common factor, if any.
21 Mako ste pr the differense (or any of two squares { '01
LS may be possible to fantorise by grouping, if the amA É O
ton contains
More tarm
dontains brackets: arid no common factor
for standard
TESTED" And the ozoresalon
Kia mean the bracke
therefore
should usually b
fied.
1 Make use of the relation, it nosulfite, that
ta3abe," 15 E+D+d#U
Use the FACTOR THEOREM and all the related properties: Ther
ANS
Then And,
(2) 37
(6) No
HIRTS & ANs. To Ex !
NOTE
can often be factori sta
Should ali
factorise
following, if possibles
tiplication, whichever
cumple will
amethad
A) Find the two values of p for which the
NSSION 10X* -212
have
ana
than at least
用與外科]第一名許蔥
▶考試題預習專欄
(十三)
GENERAL ENGLISH (13)
Answers to the previous exercise
林淼道中西英交際院(英中一G);
拔河、及开乓球 六九G),二:王文
中西英文書院
體育比賽頒獎
無碼
許藩芳
1.(a)The examination taken at the age of eleven has a
bearing on the whole of the student's future, for the type of school he will attend in the future and the examinations he will take are decided on the results of the examinations.
Not having sufficient money to meet the costs or be- ing able to get a seat in a university, prevents students with an Advanced Level Certificate from going to university.
A failure! in the first examination does not lose all chance of going to a Grammar school, for another chance to enter a Grammar School is given at the age of thirteen..
faThe poeple in favour of raising the examination agr
put forward the reason that some children have not reached full mental maturity at the age of eleven. ()Other people are against raising the examination age because elderly parents cannot afford to pay educa tional fees and society needs the active brains of youth
controversy → dispute: (b) abolished no longer used, (c)approximately roughly: (d) outcome result:
Iped qualified (f) immature not fully devel-
e)eligible
What is at stake = how important the fatter ist. the bone of contention the subject of the disputes c)In consequence • 18 a result
People in we tem countries have been arguing about the most suitable age for students to sit for the examination which they now enter when eleven years old. A Pass permits a stúdent to attend a Grammar School, sit for the Advansed Level, General Certificate Education within
years and then either finish schooling or enter university. The unsuccessful student is s to a Secondary Technical School where the
Education is taken.
er's Orangar. School
een
linary Leve Gen
an examinat
ver
Many_people think that some chi arunot sufficiently well-developed to take ion Should the examination age be raised would mean that children's student years would portionately lengthened thus putting a greater financial strain on their ageing parents and depriving society bE.. the benefits bestowed upon it by youth. (151 words). *i
Lesson 13
13Combine each group of simple sentences into One Complex}
Sentence
The people were not 111-prepared for war. Every man had been trained once in his life. That was the lay of the country,
That law was faithfully observed. (b)A band of ruffian entered a village.
The ruffians were well armed.
they entered the village in the night 1 Some of them were escaped convicts They wanted to steal the ttle of the villagere At that time the villagers were asleep.
viper was formed by a woodaman.
It was half dead of cold.
He warned it to life at his fire.
It turned upon its benefactor.
He was angry at his ingratitude,
He killed it.
It had not time to bit
4. Insert propositions:m
(a)You have to reckon. him though you can ́t rečko
(b)
his help.
the cover of darkness we made an attack you
enemy.. (c)What knowledge.
the mind is food............. the body,
the alert so that we may roL
(d)Your life is... stake
-(-)We should always be.
be taken. surprise.
(f)The road is.... repair and is not open......... -traffic
(g)You must answer.....him.
what you have done,
(h)Those who Live........ tricks will (1)His shattered health is the result. (J)Jealousy results
unhapiness
Lricks) intemperance
(k)No good is likely to result: this union m Analyse into clauses and state the function of each (a)He left the cottage, and after crossing the river he
returned almost immediately, accompanied by the five young men who he had met on the road, and who had arrived there with a boatload of commodities collected
from the jungle.
(b)At sunset, as I was preparing to pass the night in
trees
negro woman, who was returning from the labour of the field, stopped to observe me, and
per- ceiving my weariness and dejection, inquired into my situation, after my explanat ton of which she to do me with look of compassion to follow her uive the opposites of the following words by using pre-
fixess-
(a) Information (b) conduct (c) credulous in (d) articulate (e) timely (f) considerate (g) measurable(n)<refundable (1) corrigible (3) mindful" (k) payment (1) similar
(n) figure (o) religious (g) sense. readable
(r) bensitive
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四張四第
日四十月二十年午丙麽貫
WAH KIU YAT PO