二乗係数取出・文字の積項和して係数の因数分解 6x 2F`5a !3b ax!2a`3a !b a ①正負入換上下配置 =6:x 2F`5a !3b axF(2a )`!3a Fba `!2aa`3a !ba :正負入換上下配置完成 ②和して 5a !3b になる 6 の飛込を考ふ 例: 1(2a)6`!3a Fb a=!17a :スカ 2`!2a a3`3a !ba=!4a F9a =5a !3b :的中 =6:x 2F`5a !3b axF(2a )`!3a Fba 2`!2a a3`3a !ba ③上下配置書込み ④ `xFAa`xFBa 型か `x!Aa`x!Ba 型か x 2F`5a !3baxF … `xFAa`xFBa 型判明 x 2!`5a !3baxF … `x!Aa`x!Ba 型判明 =6:dxF2`!2aaedxF3`3a !bae ⑤ `xFAa`xFBa 型因数分解 =`6xF2`!2a aa`6xF3`3a !b aa ⑥初項飛込 6 =`3x!2a a`2xF3a !b a ⑦太字の約分定数で約分、括弧解除 練習 ① 4x 2F`10y!11ax!`2yF3a`3y!2a =4:x 2F`10y!11axF`2yF3a`!3yF2a 1`!2y!3a4`3y!2a :正負入換上下配置 :和して係数となる 4 飛込を考ふ : 1`!2y!3aF4`3y!2a=10y!11 =4:dxF`!2y!3aedxF4`3y!2ae : `xFAa`xFBa 型因数分解 =d4xF`!2y!3aed4xF4`3y!2ae :初項飛込 4 =`4x!2y!3a`xF3y!2a :約分 ② 4a 2!`10b F8caaF`3b F5ca`2b !ca :正負入換上下配置無 =4:a 2!`10b F8caa F2`3b F5ca2`2b !ca : 2`3b F5caF2`2b !ca=10b F8c = 4:da !2`3b F5caeda !2`2b !cae : `x!Aa`x!Ba 型因数分解 =`4a !2`3b F5caa`4a !2`2b !caa :初項飛込 4 =`2a !3b !5ca`2a !2b Fca :太字の約分定数で約分、括弧解除 ③ 8x 2!`10yF8ax!`3yF1a`y!2a =8:x 2!`10yF8axF4`3yF1a2`!yF2a :正負入換上下配置 : 4`3yF1aF2`!yF2a=10yF8 `!3y!1a`y!2a =8:dx!4`3yF1aedx!2`!yF2ae : `x!Aa`x!Ba型 因数分解 =d8x!4`3yF1aed8x!2`!yF2ae :初項飛込 8 =`2x!3y!1a`4xFy!2a :太字の約分定数で約分、括弧解除 試験 ① 6x 2!`8yF27axF`2yF3a`yF4a ② 3x 2!`5yF8ax!`yF1a`2yF3a ③ 8x 2!`2yF12ax!`3yF2a`y!2a ④ 4x 2F`4y!8ax!`yF2a`3y!2a 試験解答 ① 6x 2!`8yF27axF`2yF3a`yF4a :正負入換上下配置無 =6:x 2!`8yF27axF1`2yF3a6`yF4a : 1`2yF3aF6`yF4a=8yF27 =6:dx!`2yF3aedx!6`yF4ae : `x!Aa`x!Ba 型因数分解 =d6x!`2yF3aed6x!6`yF4ae :初項飛込 6 =`6x!2y!3a`x!y!4a :約分定数約分・括弧解除 ② 3x 2!`5yF8ax!`yF1a`2yF3a :正負入換上下配置 =3:x 2!`5yF8axF`yF1a`!2y!3a 1`!y!1a3`2yF3a : 1`!y!1aF3`2yF3a=5yF8 =3:dx!`!y!1aedx!3`2yF3ae : `x!Aa`x!Ba 型因数分解 =d3x!`!y!1aed3x!3`2yF3ae :初項飛込 3 =`3xFyF1a`x!2y!3a :約分定数約分・括弧解除 ③ 8x 2!`2yF12ax!`3yF2a`y!2a =8:x 2!`2yF12axF2`3yF2a4`!yF2a :正負入換上下配置 : 2`3yF2aF4`!yF2a=2yF12 `!3y!2a`y!2a =8:dx!2`3yF2aedx!4`!yF2ae : `x!Aa`x!Ba 型因数分解 =`8x!2`3yF2aa`8x!4`!yF2aa :初項飛込 8 =`4x!3y!2a`2xFy!2a :約分定数約分・括弧解除 ④ 4x 2F`4y!8ax!`yF2a`3y!2a :正負入換上下配置 =4:x 2F`4y!8axF`yF2a`!3yF2a 2`!y!2a2`3y!2a : 2`!y!2aF2`3y!2a=4y!8 =4:dxF2`!y!2aedxF2`3y!2ae ; `xFAa`xFBa 型因数分解 =d4xF2`!y!2aed4xF2`3y!2ae :初項飛込 4 =`2x!y!2a`2xF3y!2a :約分定数約分・括弧解除
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