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You will multiply the chances to get an investment if you were able to introduce a working prototype of your application. And even more with some firm indications from potential business partners (the sites running job sites).
The importance of business plan comes after above.
My suggestion is to start describing your business model first, e.g. what is your value proposition, customer segments, revenue streams, key resources needed, key partners etc.
You need a business plan (I mean, in classic terms) only when a potential investor or partner has fully understood your business model and wants to go ahead with the project.
A typical business model describes 5-9 "building blocks" of the concept. Search for keywords like business model canvas, business model generation, lean startup
The templates from SCORE and SBA tend to be too complicated. Nowadays nobody likes these corporate style 20+ page paperpacks. My favorite outline is following:
What is your offer to the target customers (e.g PRODUCT - CUSTOMER - VALUE OFFERED)
What is the market potential (e.g is there DEMAND and MONEY)
How you intend to reach your customers (e.g MARKETING STRATEGY)
Who are YOU and your TEAM
Will it break even, and when (e.g RETURN ON INVESTMENT and RISK)
What RESOURCES are needed (money, people, assets)
You can always make use of that template for any business case