要使(x²+ax+1)(x四次方-6x三次方)展开式不含x四次方项,则a应等于?

问题描述:

要使(x²+ax+1)(x四次方-6x三次方)展开式不含x四次方项,则a应等于?

展开得 x^6 + (a-6)x^5 + (1-6a)^4 - 6x^3
由题意有 1 - 6a = 0
得 a = 1/6