[解題] 國二上數學 多項式除法
1.年級:國二
2.科目:數學
3.章節:1-3 多項式 除法
4.題目:(7x^2-8x-10)除以(x+a),餘式為2,求a=?
5.想法:
<用長除法計算>
(7x^2-8x-10)÷(x+a)=(7x-12/a)……2
在計算過程中,可推得 -8-7a=12/a,
左右同乘以a並整理之後可得7a^2+8a-12=0,經由十字交乘法就可解出a=-2或6/7。
(詭異的是解答只寫-2)
但問題是現階段而言,學生還沒學到一元二次方程式,不知有沒有其它方法可解?
先謝謝了:)
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