Question

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

A. the minus signs should be plus signs
B. 4 is also a factor of this trinomial
C. the factors are not simplified
D. there is nothing wrong with the answer

Answer 1

TA. the minus signs should be plus signs  It should be (2x+3)(2x+3) or (2x+3)^2

Answer 2

Answer:

The minus sign must be plus sign.                  Option D

Step-by-step explanation:

Given quadratic is 4x²+12x+9

Find the factor of given quadratic. We use complete square method to find the factor.

Take common 4

4(x²+3x) + 9

=4(x² + 3x +$\frac{9}{4}$) + 9 - 9

=4(x +$\frac{3}{2}$)²

=$4\frac{(2x+3)^{2} }{4 }$

=(2x+3)²

=(2x+3)(2x+3)

In student's answer the minus sign must be plus sign.

That's the final answer.