Which of the following is a requirement for a trinomial to be factored as a perfect square?

A.

The constant term must be a perfect square.

B.

The constant term must be a perfect cube.

C.

The constant term must be twice the product of the square roots of the other two terms.

D.

The constant term must be half the product of the square roots of the other two terms.

Question

Which of the following is a requirement for a trinomial to be factored as a perfect square?




A. 

The constant term must be a perfect square. 


B. 

The constant term must be a perfect cube. 


C. 

The constant term must be twice the product of the square roots of the other two terms. 


D. 

The constant term must be half the product of the square roots of the other two terms.

anonymous · Answer

well the answer would be c 
For example 4x^2 + 12xy + 9y^2 = (2x + 3y)^2

solomonzelman · Answer

$\large\color{midnightblue}{ \rm   ax^2+bx+c   }$


$\large\color{midnightblue}{ \rm   x^2+\frac{b}{a}x+\frac{c}{a}   }$


$\large\color{red}{ \rm  (\frac{b}{2a})^2=\frac{c}{a}   }$

anonymous · Answer

ok

solomonzelman · Answer

it is hard to understand what I am saying...

anonymous · Answer

yah it is

solomonzelman · Answer

I like numbers better than words when answering a MATH question.

anonymous · Answer

oh ok