If d is just some arbitrary number and you didn't accidentally duplicate your letters, then no.1. The problem statement, all variables and given/known data
Is it true that all quadratic equations (ax^{2}+bx+c) can be factorised into this form: (ax+b)(cx+d)?
I think so, but I'm not certain.
As gb7nash said the coefficients a, b, and c, in (ax^{2}+bx+c) are not, in general, the same as those in (ax+b)(cx+d).1. The problem statement, all variables and given/known data
Is it true that all quadratic equations (ax^{2}+bx+c) can be factorised into this form: (ax+b)(cx+d)?
I think so, but I'm not certain.