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.
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
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