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Mathematics Senior High

数2の質問です! (2)の問題では p(1/2)=0 なんですが p(x)=0 のxに分数が入る 規則的なものはありますか?? また見つけやすい方法を教えてほしいです!! よろしくおねがいします!🙇🏻‍♀️՞

94 基本 例題 56 高次式の因数分解 00000 次の式を因数分解せよ。 (1)x+4.x²+x-6 (2) 2x9x2+2 p.87 基本事項 2. 3. 基本5g CHART & SOLUTION 高次式P(x)の因数分解 ① P(k=0 となるkを見つけてP(x)=(x-k)Q(x) ② 更に、Q(x) を因数分解 P(k) = 0 となるようなkの候補は 定数項の約数 最高次の項の係数の約数 で割ったときの余りがきであるから=1+x P(1)=13+4・12+1-6=0 (21 (詳しくは、下の INFORMATION を参照)+ Q(x)を求めるには、P(x)を一人で割り算してもよいが、1次式による割り算であるから 組立除法 (p.87, 88 解答 (1) P(x)=x3+4x2+x-6 とすると MAR =(1+x)組立除法 141 -6 1 よって、P(x) は x-1 を因数にもつから であるから 15 6 (2) P(x)=2x-9x2+2 とすると(3)=1] ...... 2 -9. +2=0 2 3 よって(x)x1/23 因数にもつから P(x)=(x−1)(x2+5x+6)=(x−1)(x+2)(x+3) | 15 6 P(x)=(x-2) (2x-8x-4)=(2x-1)(x²-4x-2) INFORMATION P(k) = 0 となるの見つけ方 組立除法 0 2-9 0 2 1-4-2 2 2 -8-4 0 ◆有理数の範囲では、こ 以上因数分解できな P(x)=ax2+bx+cx+d に対し,P(7)=0とすると,P(x)はx-gで割り切れ 商をlx2+mx+n とすると, 次の等式が成り立つ。 ax+bx+cx+d=(px-g)(lx²+mx+n) (係数はすべて整数) x の項の係数と定数項を比較してa=d=- よって,かはP(x)の最高次の項の係数 αの約数出 である。 g は P(x) の定数項dの約数 [+ 定数項の約数 すなわち,P(k) = 0 となるkの候補は 最高次の項の係数の約数 DRACTICE 562 次の式を因数分解せよ。 (1) x-4x2+x+6 (x+2) (2)2x35x²+5x+4

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English Junior High

かっこに当てはまる英語を教えてください、!

10 1 Unit 2 長文問題 ミツバチは女社会 ? (1) Have you ever experienced a bee sting? If you (2) have, you may not be fond of bees. However, they are very interesting and honeybee society is very similar to (3) ours. Let's look at some interesting facts about (4) it. 2 Honeybees live together in groups of 20,000-80,000 in a beehive. This group is call ] a colony and the bees in the hive can be categorized into three types: a single queen, tens of thousands of worker bees and hundreds of drones. Target ①現在完了形・現在完了進行形 ②名詞・冠詞 人称代名詞 ③受け身 sting 刺すこと〜を刺す be fond of ~を好む honeybee ミツバチ be similar to 〜に似ている beehive ハチの巣 colony コロニー categorize ~を分類する tens of thousands of 何万もの〜 drone 雄バチ lay eggs 卵を産む lifespan rule ~を統治する duty. female 雌の rather かなり as ~につれて Ange from 3 A queen bee's job is to lay eggs all her life. Each day the queen bee lays around 2,000 eggs. The average lifespan of a queen is three to four years. Does the queen "rule" the colony? No. Her duty is simply egg- laying. In fact, the queen bee has a smaller brain than a worker bee. 4 The worker bees are the largest population in the hive. They are all female bees but can't lay eggs. A worker bee's life is rather short. They live around 40 days. Their job is to keep the queen bee happy. They do all the work but change jobs as they grow. For about a week after birth, they mainly clean the hive. Sometime between five to sixteen days after birth, they usually take care of the babies and help to build the hive. When they become twelve to eighteen days old, they (d carry food. After that, they guard the hive entrance. When (5) they are three weeks old, they fly out the hive, pollinate plants and collect food. 5 If you're a drone bee, life is hard. You're [ bear ], live for a month or two, and then die. During that time, you're not a productive member of the hive-you can't collect pollen or help to look after eggs, like worker bees-and you can't even sting anyone. Drone bees live with one thing in mind: mating with a queen. When (6) they're lucky, they (7) can, but they die soon after (8) that. 6 Every bee in the hive has a part to play in the survival and success of their kind. Bees have been living like this for ages. (9) They work together and live in harmony. guard 守る pollinate 授粉する productive 生産的な pollen E in mind 考えて mate with と交尾する success, ** in harmony 調和して、仲良く 問1 問2 (2)( (7)( 問3 ou 問4 (4) ( (6)( 問 あ [ 1 4 Pd

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