SOLUTION: 3x^2+12x+5=p(x+q)^2+r find values for p,q and r I appreciate any form of help you can give me.

Question 126235: 3x^2+12x+5=p(x+q)^2+r
find values for p,q and r
I appreciate any form of help you can give me.
Answer by uma(370) (Show Source): You can put this solution on YOUR website!
3x^2+12x+5=p(x+q)^2+r
Consider the left side:
3x^2 + 12x + 5
= 3(x^2 + 4x) + 5
= 3(x^2 + 4x + 4 - 4) + 5 [ add and subtract to make it a perfect square]
=3(x^2 + 4x + 4) - 12 + 5
= 3(x+2)^2 - 7
= p(x+q)^2 + r
Equating, we get, p = 3, q = 2, r = -7
good luck!!!

RELATED QUESTIONS
Please can you help with this question: Given that, for all values of x:... (answered by venugopalramana)

3x^2+12x+5=p(x+q)^2+r Find the values of p,q and... (answered by jim_thompson5910)

please help me : given that for all values x: 3x�+12x+5= p(x+q)�+r a) find the... (answered by stanbon)

Hi i would really appreciate it if someone would help me with this problem. If... (answered by venugopalramana)

Give a truth table that shows the Boolean value of each of the following Boolean... (answered by Edwin McCravy)

Composition of Functions problem: r(t)=q(p(t)) Given: t | p(t) | q(t) |... (answered by stanbon)

write a direct proof using the eight rules of inference (C → Q) � (~L →... (answered by Edwin McCravy)

I would really appreciate your help! I need to find the values of p, r, and q. I have... (answered by scott8148)

If 3x^2-12x+14=3(x+p)^2+q, what are the values of p and... (answered by Edwin McCravy)