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数学Ⅱ 3乗の展開と因数分解&二項定理①

Authored by 渡辺 崇

Mathematics

11th - 12th Grade

Used 6+ times

数学Ⅱ 3乗の展開と因数分解&二項定理①
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5 questions

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1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 x3+8x^3+8  を因数分解せよ。

 (x+2)(x2+2x+4)\left(x+2\right)\left(x^2+2x+4\right)  

 (x+2)(x22x+4)\left(x+2\right)\left(x^2-2x+4\right)  

 (x2)(x2+2x+4)\left(x-2\right)\left(x^2+2x+4\right)  

 (x2)(x22x+4)\left(x-2\right)\left(x^2-2x+4\right)  

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

 x38x^3-8  を因数分解せよ。

 (x+2)(x2+2x+4)\left(x+2\right)\left(x^2+2x+4\right)  

 (x+2)(x22x+4)\left(x+2\right)\left(x^2-2x+4\right)  

 (x2)(x2+2x+4)\left(x-2\right)\left(x^2+2x+4\right)  

 (x2)(x22x+4)\left(x-2\right)\left(x^2-2x+4\right)  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 (x+3)(x23x+9)\left(x+3\right)\left(x^2-3x+9\right) を展開せよ。

 x3+27x^3+27  

 x327x^3-27  

 x3+6x2+18x+27x^3+6x^2+18x+27  

 x3+9x2+27x+27x^3+9x^2+27x+27  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 (x+3)(x2+6x+9)\left(x+3\right)\left(x^2+6x+9\right) を展開せよ。

 x3+27x^3+27  

 x327x^3-27  

 x3+6x2+18x+27x^3+6x^2+18x+27  

 x3+9x2+27x+27x^3+9x^2+27x+27  

5.

FILL IN THE BLANK QUESTION

2 mins • 1 pt

 (x3)7\left(x-3\right)^7  の展開式における x4x^4  の係数を求めよ。

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