1-2.2 多項式的加減

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(2)

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Ꙩ뚵ꚡꪺꕛꩫ뭐듮ꩫ

썄룑꩒

닄ꑇ뎹 Ꙩ뚵걏

NOTE:

Q1. ꕨ걁뢹ꩫꭨ걏꒰믲? Q2. ꒰믲ꕳ낵Ꙑ쏾뚵? Q3. Ꙑ쏾뚵결꒰믲ꕩꕈꙘ꣖?

NOTE:

Q. 결꒰믲걁뢹ꭥ걏듮뢹껉ꅁ ꕨ걁뢹굮엜뢹?

NOTE:

Ꙩ뚵ꚡꪺꕛꩫ

(2

x

+ +

3) (3

x

+

5)

1.

ꕨ걁뢹

2.

Ꙑ쏾뚵Ꙙ꣖ ꣒썄뵭닟 2 2

(6

x

−

3 ) (2

x

+

x

− +

5) (

x

−

7)

Ꙩ뚵ꚡꪺꚸ볆

2 (5

x

+ −

2) (

x

−

3 )

x

꣒썄뵭닟 3 2 3 2 (6x −3 ) (2x − x − +5) (x −7 )x 3 2 7x −9x − +3x 5 룑떪: ꕨ걁뢹껉 굮엜뢹

Ꙩ뚵ꚡꪺ듮ꩫ

Ꙩ뚵ꚡꪺꚸ볆

2 2

3

5

2 3 3

2 x

x

+

− +

쁈냳뵭닟 3 5

6

3 x

x

− +

+ +

뷐ꗎ궰뺭뇆ꙃꑕ궱ꪺꙨ뚵ꚡ ꡃ귓뚵꣌뻚ꚸ볆ꅁꗑ낪꣬ꝃꅂꗑꖪ꣬ꕫꪺ뇆ꙃꓨꚡ

Ꙩ뚵ꚡꪺ궰뺭뇆ꙃ

Ꙩ뚵ꚡꪺꚸ볆

#1 #2 #3

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Ꙩ뚵ꚡꪺꕛꩫ뭐듮ꩫ

썄룑꩒

닄ꑇ뎹 Ꙩ뚵걏

NOTE:

Q. Ꝁꪽꚡꕛꩫ륂뫢껉ꅁ돌궫굮 ꪺ걏꒰믲?

NOTE:

Q. ꝑꗎ꓀싷ꭙ볆ꩫꝀꙨ뚵ꚡꕛ 듮륂뫢ꅁ굙ꚳ꿊뚵ꅁ삳룓ꯧ 믲뿬?

ꕛꩫꪺꪽꚡ륂뫢

3 2

2

1

3

5

4 x

x

−

+

−

+

−

+

꣒썄뵭닟 5 2 4 3

(6

x

−

3 ) (2

x

−

x

− +

5) (

x

−

7 )

x

ꪽꚡꅂ뻮ꚡ 귾ꑀ뫘ꙮ군뫢? Ꙑ쏾뚵Ꙙ꣖

Ꙩ뚵ꚡꪺꚸ볆

듮ꩫꪺꪽꚡ륂뫢

3 2

2

1

3

5

4 x

x

−

+

−

+

−

-꣒썄뵭닟 2 2

(6

x

−

3 ) (2

x

−

x

−

5)

Ꙑ쏾뚵Ꙙ꣖

Ꙩ뚵ꚡꪺꚸ볆

꓀싷ꭙ볆ꩫ

2

1

2

1

3

5

4 x

x

−

+

−

+

−

+

1.

궰뺭뇆ꙃ

2.

꿊뚵룉 0

Ꙩ뚵ꚡꪺꚸ볆

#4 #5

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Ꙩ뚵ꚡꪺꕛ듮 - ꣒썄룑꩒

NOTE:

Q. 궰뺭뇆ꙃ걏꙰꛳뇆ꙃꥏ?

NOTE:

Q. ꕨ걁뢹ꩫꭨ꒤ꅁ걁뢹ꭥ궱 걏 ” + ” 뢹ꅁꕨ걁뢹ꯡ믝꒣ 믝굮엜뢹? (1) 녎Ꙩ뚵ꚡ ꯶꓉뺭뇆ꙃꕩ뱧결 _______________________ (2) 녎Ꙩ뚵ꚡ ꯶궰뺭뇆ꙃꕩ뱧결 _______________________

꣒썄

1. Ꙩ뚵ꚡꪺ뇆ꙃ

뻇ꗍ뵭닟

녎Ꙩ뚵ꚡ

꯶ꑕꙃꓨꚡ뇆ꙃꅇ

(1) 궰뺭뇆ꙃꅇ______________________

(2) ꓉뺭뇆ꙃꅇ______________________

2 3 4 2− x +5x −x 2 3

8 x

+

3 x

−

6 x

−

2

2 3 4x − −x 3x +9 뇆ꙃ 궰뺭ꅇꚸ볆ꗑ낪ꛜꝃ ꓉뺭ꅆꚸ볆ꗑꝃꛜ낪

꣒썄

2. Ꙑ쏾뚵Ꙙ꣖

뻇ꗍ뵭닟

녎

Ꙙ꣖Ꙑ쏾뚵ꅁꣃ낵궰뺭뇆ꙃꅃ

녎 Ꙙ꣖Ꙑ쏾뚵ꅁ ꣃ낵꓉뺭뇆ꙃꅃ 2

_{2 3}

₆

₂

2

x

+ +

x

−

x

+

x

2 2

3 y

9 7

y

5 y

8 6

y

−

+ −

−

+ +

Ꙑ쏾뚵 ꓥ꙲꓎ꚸ볆ꞡ곛Ꙑꪺ뚵

군뫢

군뫢 ꓎ ꒧ꥍꅃ

꣒썄

3. Ꙩ뚵ꚡꕛꩫ

뻇ꗍ뵭닟 2 2

(2 3

−

x

+

5 ) (7

x

+

x

−

5 x

−

8)

2 3x +5x+1 _x2₋₄_x₊₈ ꕛ듮ꩫꡂ왊 1. ꕨ걁뢹 2. Ꙑ쏾뚵Ꙙ꣖ #7 #8 #9

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Ꙩ뚵ꚡꪺꕛ듮 - ꣒썄룑꩒

NOTE:

Q. ꕨ걁뢹ꩫꭨ꒤ꅁ걁뢹ꭥ궱 걏 ” – ” 뢹ꅁꕨ걁뢹ꯡ믝꒣ 믝굮엜뢹?

NOTE:

꣒썄

4. Ꙩ뚵ꚡ듮ꩫ

뻇ꗍ뵭닟 군뫢

군뫢

(3

x

2

−

2 x

+ − −

1) ( 2

x

2

+

3)

2 3 (2x + − −x 4) (3x−6x +6) ꕛ듮ꩫꡂ왊 1. ꕨ걁뢹 2. Ꙑ쏾뚵Ꙙ꣖

꣒썄

5. ꪽꚡ륂뫢꓎꓀싷ꭙ볆

뻇ꗍ뵭닟

ꝑꗎꪽꚡ군뫢

ꝑꗎꪽꚡ군뫢 2 2

(2 3

−

x

+

5 ) (4

x

+

x

+

7)

2 2 ( 7− x − − −4) (x 6x −3) ꪽꚡ륂뫢 1. 궰뺭뇆ꙃ 2. 꿊뚵룉 0

꣒썄

6. ꕛ듮뉖Ꙙ

뻇ꗍ뵭닟

군뫢

ꑷꪾꙨ뚵ꚡA 결 뭐 ꒧ꥍꅁ ꙁ듮ꕨ ꅁꭨꅇ (1) Aꇗ? (2) 럭 xꇗ–1 껉ꅁA ꪺ귈결꛳ ? 3 2 3 2

(6

x

−

2 x

+ −

1) (2

x

+ + +

x

6) (

x

−

7 x

−

4)

5 3 5x +7x −9 ₂_x2₊₅_x₋₄ 3 2 7x +2x −13 ꕛ듮ꩫꡂ왊 1. ꕨ걁뢹 2. Ꙑ쏾뚵Ꙙ꣖ #10 #11 #12

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Ꙩ뚵ꚡꪺꕛ듮 - ꣒썄룑꩒

NOTE:

Q.꣢귓Ꙩ뚵ꚡ곛떥걏꒰믲띎ꯤ?

NOTE:

굙꣢귓x ꪺꙨ뚵ꚡ 뭐 곛떥ꅁꡄ

꣒썄

7. Ꙩ뚵ꚡ곛떥

뻇ꗍ뵭닟

덝꣢귓

x ꪺꙨ뚵ꚡ

뭐

곛떥ꅁꡄ

aꇏbꇗ?

3 2 ax +bx +cx d+ 2

₃

x

+

ax

+

_x

2

₊

₃

_{x b}

₋

3 3x 5x − + a b c d+ + + =? Ꙩ뚵ꚡ곛떥 Ꙑ쏾뚵ꭙ볆곛떥 ꑷꪾ ꪺ떲ꩇ결 륳Ꙩ뚵ꚡꅁ뷐냝aꅂbꅂc ꙕ결Ꙩꓖ ?

꣒썄

8. ꕛ듮ꯡ곛떥

뻇ꗍ뵭닟

굙

(3

x

2

−

2 x a

+ +

) (

bx

2

+

2 x

+ =

4) 5

x

2

+

cx

−

3 ꅁꭨ

aꇏbꇏcꇗ?

2 2 (ax +5x− −3) (3x +bx c+ ) Ꙩ뚵ꚡ곛떥 Ꙑ쏾뚵ꭙ볆곛떥 굙A 결Ꙩ뚵ꚡꅁꕂ A – (–3x2_ꇏ_{2x – 5)ꇗ6x}2_{– 7xꇏ5ꅁ} ꡄAꇗ?

꣒썄

9. ꡄꙨ뚵ꚡ

뻇ꗍ뵭닟

Ꙩ뚵ꚡ

p(x) 뭐 –x

2

_{– 4x – 5 ꪺꥍ결 –3x}

2

_ꇏ

_{2xꇏ5ꅁꭨ p(x)ꇗ?}

#13 #14 #15

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Ꙩ뚵ꚡꪺꕛ듮 - ꣒썄룑꩒

NOTE:

Q1. 궱뽮낣ꑆꕩꕈ꙰솿룑ꢺ볋 ꗎ꓁돎ꪺ꣓ꡄ꣬ꅁꚳꡓꚳꝏ ꪺꓨꩫꥏ? Q2. ꑀ귓맏꟎ꪺꥐ꫸걏꯼꒰믲? Q3. ꣒썄꒤ꪺꥐ꫸낣ꑆ꙰솿룑 ꪺ뫢ꩫꕾꅁꚳꡓꚳꝏꪺ군뫢 ꓨꩫꥏ? 덝AꅂB ꓀ꝏꕎꫭ꣢귓Ꙩ뚵ꚡꅁ굙 ꕂ ꅁ ꭨꙨ뚵ꚡAꇗ?

꣒썄

10. ꓨ땻닕ꡄꙨ뚵ꚡ

뻇ꗍ뵭닟

ꚳ

AꅂB ꣢귓Ꙩ뚵ꚡꅁꑷꪾ

ꅁ

ꭨ

AꅂB ꙕ결꛳ ?

2 3A+2B=13x −2x+4 2

₁

A B

+ =

x

+

_{A B}

_{− =}

₂

_x

3

₋

₄

2 4 24 3 A B− = − x − x+ ꑰꭂ룑ꑀ륄썄ꗘꅁ뭾녎A – 2B 곝ꚨ Aꇏ2Bꅁ 떲ꩇ녯꣬3x2_{– xꇏ5ꅁꑷꪾ Aꇗx}2_ꇏ_3ꅁꭨ A – 2B ꪺꖿ뵔떪껗결꛳ ?

꣒썄

11. 곝뿹썄ꗘ냝썄

뻇ꗍ뵭닟

꫼ꙴ룑ꑀ륄썄ꗘꅁ뭾녎

AꇏB 곝ꚨ A – Bꅁ떲ꩇ녯꣬

ꅁ

ꑷꪾ

Bꇗ4x

2

_{– 5xꇏ2ꅁꭨ AꇏB ꪺꖿ뵔떪껗결꛳ ?}

2

7 x

3 x

1 −

+

ꕫ맏꒤ꡃ귓ꢤꯗꞡ결ꪽꢤꅁꝑꗎx ꪺ Ꙩ뚵ꚡꫭꗜꛇꛢ뎡ꗷꪺ궱뽮뭐ꥐ꫸ꅃ

꣒썄

12. 궱뽮뭐ꥐ꫸

뻇ꗍ뵭닟 x 2 3x – 1 xꇏ1 4 1

ꑕ맏꒤ꡃ귓ꢤꯗꞡ결ꪽꢤꅁꝑꗎx ꪺꙨ뚵ꚡꫭꗜꛇꛢ뎡ꗷꪺ궱뽮뭐ꥐ꫸

3 6 xꇏ9 7x – 3 x 3xꇏ3 #16 #17 #18

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뻇ꗍ뵭닟룑떪

Ꙩ뚵ꚡꪺꕛ듮륂뫢

#1ꅇ8x

2

– 2x – 12

#2ꅇ7x

3

– 9x

2

– 3x + 5

#3ꅇx

5

+ 6x

3

– x + 3

#4ꅇ6x

5

+ x

4

– 7x

3

– 2x

2

– 3x + 5

#5ꅇ4x

2

– 3x + 5

#7ꅇ(1) 4 – x – 2x

2

+ 5x

3

(2) –3x

3

+ 4x

2

– x + 9

#8ꅇ17 + y – 10y

2

#9ꅇ4x

2

+ x + 9

#10ꅇ6x

3

+ 2x

2

– 2x – 10

#11ꅇ–x

2

– x – 1

#12ꅇ(1) 5x

2

+ 5x (2) –10

#13ꅇ2

#14ꅇa = 3, b = 5, c = –3

#15ꅇ3x

2

– 5x

#16ꅇx

2

– 10x + 2

#17ꅇ–x

2