教科書レベルの公式と例題
== 式の展開と因数分解(多項式) ==
単項式と多項式の乗法は,分配法則で行う.
【例題1】 次の式を展開してください.
(解答)(1) (2) (3) (4) (1) (2) (3) (4) |
多項式を単項式で割る計算は,「分数の形にする」か,「逆数のかけ算に直して計算する」.
(注)多項式で割る計算,例えば
【例題2】 次の計算をしてください.
(解答)(1) (2) (1) 分数の形にする場合 逆数のかけ算に直す場合 (2) 分数の形にする場合 逆数のかけ算に直す場合 |
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【例題3】 次の式を展開してください.
(解答)(1) (2) (1) (2)
同類項があるので,係数をまとめて簡単にします
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【乗法の公式】
多項式の展開でよく登場する次の形は,乗法の公式として覚えて使います.(公式として使うとは,左辺に当てはまったら,右辺を答えるということです)
【例題4】 次の式を展開してください.
(解答)(1) (2) (3) (4) (5) (6) (7) (8) (1) (2) (3) (4) (5) (6) (7) (8) |
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