Question

若多项式ax平方+bx与2x平方—3x+1的积中不含有x的三次方和x项,试求a,b

Answer 1

(ax^2+bx)(2x^2-3x+1)

=2ax^4+(2b-3a)x^3+(a-3b)x^2+bx

所以,2b-3a=0,b=0,联立两方程,解得a=0,b=0.