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Why is \(x^2+bx+c=(x−p)(x−q)\) ? Shouldn't it be equal to (x+p)(x+q)? Please explain. Thanks so much.

Guest Jun 27, 2018

Best Answer 

 #1
avatar+93866 
+1

It can be either. 

 

Here is an example.

 

\(x^2+6x+5 = (x+5)(x+1)=(x-(-5))(x-(-1))\)

 

If p and q are positive numbers then it will be +

If p and q are negative numbers then it will be -

 

That is assuming that b and c are both positive numbers.

 

Anyway it is all related to the signs of all the pronumerals.    b,c,p and q

Melody  Jun 27, 2018
 #1
avatar+93866 
+1
Best Answer

It can be either. 

 

Here is an example.

 

\(x^2+6x+5 = (x+5)(x+1)=(x-(-5))(x-(-1))\)

 

If p and q are positive numbers then it will be +

If p and q are negative numbers then it will be -

 

That is assuming that b and c are both positive numbers.

 

Anyway it is all related to the signs of all the pronumerals.    b,c,p and q

Melody  Jun 27, 2018

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