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歡迎您訪問數學考題練習:若多項式x2+kx-6有一個因式是(x-2),!

數學考題練習:若多項式x2+kx-6有一個因式是(x-2),

更新時間:2024-01-12 14:10:54作者:貝語網校

若多項式x2+kx-6有一個因式是(x-2),則k=________.

試題答案

1

試題解析

多項式x2+kx-6有一個因式是(x-2),則另一個因式一定也是一個一次項系數是1的一次式,設另一個式子是(x+a),根據多項式乘法展開后再利用對應項的系數相等即可求解.

解答:設另一個式子是(x+a),

則(x-2)•(x+a),

=x2+(a-2)x-2a,

=x2+kx-6,

∴a-2=k,-2a=-6,

解得a=3,k=1.

故應填1.

點評:本題主要考查了因式分解與整式的乘法互為逆運算,并且考查了代數式相等條件:對應項的系數相同.

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