- (a) Find the first 3 terms, in ascending powers of \(x\), of the binomial expansion of
$$( 2 - 9 x ) ^ { 4 }$$
giving each term in its simplest form.
$$f ( x ) = ( 1 + k x ) ( 2 - 9 x ) ^ { 4 } , \text { where } k \text { is a constant }$$
The expansion, in ascending powers of \(x\), of \(\mathrm { f } ( x )\) up to and including the term in \(x ^ { 2 }\) is
$$A - 232 x + B x ^ { 2 }$$
where \(A\) and \(B\) are constants.
(b) Write down the value of \(A\).
(c) Find the value of \(k\).
(d) Hence find the value of \(B\).