exam Maths Puzzle Numerical Ability

A multiple choice test has 30 questions. Each question has five possible answers, of which one is correct. If a student guesses on every question, find the probability of getting exactly 12 correct.

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Hello,
I wanted to know how to complete a quadratic equation if you're only given the ax^2 + bx and NOT provided with the c. Isn't there a simple equation that you can use Multiply and reduce to lowest terms:

2x^2 + 13x + 20 / x^2 + x - 12 * x^2 + 2x - 15 / 2x^2 + 7x + 5