Mathematics
Senior High

この問題の解き方を教えて下さい。

間3.4x°- 20x?- 9x+ 45 を因数分解すると、 サ x+ シ)(スコ -| セ(x- ソ )が得られる。

Answers

4x³-20x²-9x+45
=x(4x²-9)-5(4x²-9)
=(x-5)(4x²-9)
=(x-5)(2x-3)(2x+3).

解答欄に合うよう書き直せば,
(2x+3)(2x-3)(x-5).

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