factor 2sin^2(x)- 5 sin(x)+3

Question

I'm really bad with factorization. Can someone explain me the procedure for solving this type. And if so any general rule or advice that could help me understand overall any procedure of factorization? Thank you

Answer 1

u substitution is the right way to go with something in this format. After the substitution if you are unable to factor it, try the diamond method. Video below as an example.

https://www.youtube.com/watch?v=kIFGLRXes5o&feature=emb_rel_end

Answer 2

Sometimes it is helpful to do a substitution.

Let u = sin x

2u² - 5u + 3

(2u - 3)(u - 1)

(2 sin x - 3)(sin x - 1)