SOLUTION: steps to factor 12a^2 + 84ab + 147b^2

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Question 205536This question is from textbook
: steps to factor 12a^2 + 84ab + 147b^2 This question is from textbook

Found 2 solutions by stanbon, Targetweek:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
12a^2 + 84ab + 147b^2
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A little trick:
If you graph this as 12x^2 + 84x + 147 you
will see that -7/2 is a root.
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That means 2x+7 is a factor.
---
Your problem:
= (2a+7b)(6a+21b)
==========================
Cheers,
Stan H.
Answer by Targetweek(62)   (Show Source): You can put this solution on YOUR website!
if the equation is

then the answer is...
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=0 is zero! That means that there is only one solution: .
Expression can be factored:

Again, the answer is: -3.5, -3.5. Here's your graph:
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