※ 引述《iverson33344 (iverson33344)》之銘言:
: 有幾題我想了很久還是想不出為什麼?
: 1.x^4 +5x^3 +15x -9 =??
x^4 +5x^3 +15x -9
= (x^4 +5x^3 -3x^2) + (3x^2 +15x -9)
= x^2*(x^2 +5x -3) + 3(x^2 +5x -3)
= (x^2 + 3)(x^2 +5x -3)
: 答案 (x^2 + 3)(x^2 +5x -3)
: 2.x^5 +x +1 =??
雙十字交乘法硬來
: 答案 (x^3 -x^2 +1)(x^2 +x +1)
: 3.-x^4 +3x^2 -1 =??
-x^4 +3x^2 -1
= -[(x^4 -2x^2 +1)-x^2]
= -[(x^2 -1)^2-x^2]
= -(x^2 +x -1)(x^2 -x -1)
: 答案 -(x^2 +x -1)(x^2 -x -1)
: 拜託高手了!!!!!謝謝!!!!!!
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