- (a) Find the first 4 terms, in ascending powers of \(x\), in the binomial expansion of
$$( 1 + k x ) ^ { 10 }$$
where \(k\) is a non-zero constant. Write each coefficient as simply as possible.
Given that in the expansion of \(( 1 + k x ) ^ { 10 }\) the coefficient \(x ^ { 3 }\) is 3 times the coefficient of \(x\), (b) find the possible values of \(k\).