Question

Given the trinomial 2x2 + 4x + 4, predict the type of solutions.

Two rational solutions
One rational solution
Two irrational solutions
Two complex solutions

Answer 1

how you think ?

2x^2 +4x +4 = 0

like a first step what you see - what can you factorizing out from these terms of equation ? what is the common term there ?

Answer 2

The fundamental theorem of algebra says that the power of the polynomial is the number of roots it'll have, so you can cross off b for this
Also, you can use \(b^2-4ac\) if it is equal to 0, you have 1 solution, if you have more than 0, you have 2 real solutions, if it's less than 0, you have 2 complex solutions

So what choice is it?