'For' is implied by 'seeking' and therefore redundant.
In 'searching an answer,' 'for' is not implied and should be added.
One of those English mysteries, I guess.
The American Heritage Dictionary of the English Language, fourth edition (2000) gives three definitions for didactic:
didactic also didactical adj. 1. Intended to instruct. 2. Morally instructive. 3. Inclined to teach or moralize excessively.
None of these definitions explicitly includes the note of teaching with an ulterior motive that you mention in a comment above, but the third definition, with its emphasis on teaching or moralizing excessively may hint at something similar.
A number of verbs can be used to indicate teaching to serve an ulterior motive. A usage note at implant in Merriam-Webster's Eleventh Collegiate Dictionary (2003) offers a close comparison of several verbs that are candidates for the meaning that you may have in mind:
IMPLANT, INCULCATE, INSTILL, INSEMINATE, INFIX means to introduce into the mind. IMPLANT implies teaching that makes for permanence of what is taught [example omitted]. INCULCATE implies persistent or repeated efforts to impress on the mind [example omitted]. INSTILL stresses gradual, gentle imparting of knowledge over a long period of time [example omitted]. INSEMINATE applies to a sowing of ideas in many minds so that they spread through a class or nation [example omitted]. INFIX stresses firmly inculcating a habit of thought [example omitted].
The definition closest to what you describe seems to be the one for inseminate, although that word seems so closely connected to procreation in most people's minds that it may not work for you. My own preference is for inculcate, which emphasizes the persistence of the effort—and which does not imply anything about the intentions (and motives) of the inculcator, for good or for ill.
However, I think that the verb that may most accurately describe the process of teaching a belief for ulterior purposes is indoctrinate. Here is the Eleventh Collegiate's definition of that word:
indoctrinate vt (1626) 1 : to instruct esp. in fundamentals or rudiments : TEACH 2 : to imbue with a usu. partisan or sectarian opinion, point of view, or principle
The second definition here is the one that I think fits best in your example sentence, though it requires as light adjustment of the final part of the sentence:
The advertising industry attempts to indoctrinate women with this specious ideal of beauty.
Best Answer
You can consider rodomontade.
An example from OED:
Etymology of the word from Etymonline:
Note: Rodomontado is a synonym and partly from Italian rodomontata and partly an alteration of rodomontade, after -ado suffix.