题目内容
已知(19x-31)(13x-7)-(13x-7)(11x-23)可因式分解成(ax+b)(8x+c),其中a、b、c均为整数,则a+b+c=( )
| A.22 | B.14 | C.-2 | D.-3 |
(19x-31)(13x-7)-(13x-7)(11x-23)
=(13x-7)[(19x-31)-(11x-23)]
=(13x-7)(8x-8),
则a=13,b=-7,c=-8.
则a+b+c=13-7-8=-2.
故选C.
=(13x-7)[(19x-31)-(11x-23)]
=(13x-7)(8x-8),
则a=13,b=-7,c=-8.
则a+b+c=13-7-8=-2.
故选C.
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