SOLUTION: Find a value for k that will make {{{4x^2+12x+k}}} a perfect square. Describe the procedure that you used which requires algebra (this is not a trial and error).

Question 133599: Find a value for k that will make a perfect square. Describe the procedure that you used which requires algebra (this is not a trial and error).
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Step 1: Divide the entire polynomial by the coefficient on the term.

Step 2: Divide the coefficient on the term by 2: Result:

Step 3: Square the result of step 2: Result:

The result of step 3 is the value of the constant term required to make a perfect square, therefore =>

can be multiplied by 4 to reverse the effects of step 1, resulting in which then factors to
RELATED QUESTIONS
Find a value for k that will make 4x^2 + 6.4 x + k a perfect square. Describe the... (answered by ptaylor)

Find a value for K that will make 4x^2 + 6.4x + K a perfect square. Describe the... (answered by Edwin McCravy)

Here is one that I am completely stumped on: Find a value for k that will make 4x^2 +... (answered by vleith,Fombitz)

Find a value for k that will make 4x^2 + 6.4x + k a perfect square. Describe the... (answered by nerdybill)

Find a value for k that will make 4x^2 + 6.4 x + k a perfect square. Describe the... (answered by Alan3354)

find a value for K that will make 4x^2 + 6.4x + K a perfect square. Describe the... (answered by stanbon)

Find a value for k that will make 4x^2 + 6.4 x + k a perfect square. Describe the... (answered by stanbon,solver91311)

This is the problem that I was given and th only way I know how to solve would be trial... (answered by ankor@dixie-net.com)

1. Explain why a^2 + b^2 cannot be factored. 2. Find a value for k that will make 4x^2 (answered by stanbon)