Question

when I asked to factor the trinomial, 4x^2 + 12x + 9, A student gives the answer (2x-3)(2x-3). what is the one thing wrong with this answer?

Answer 1

Given the following trinomial expression:

$4x^2+12x+9$

The given expression is a complete square.

the factor of the given trinomial will be as follows:

$4x^2+12x+9=(2x+3)(2x+3)$

A student gives the answer (2x-3)(2x-3).

So, by comparing the student's answer to our answer, we can note the student is wrong in the sign

So, the answer will be:

C. The minus signs should be plus signs