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

#1**+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**+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