The binomials shown below will be multiplied to produce a quadratic trinomial. (x + p)(x + q) Which part of the trinomial will equal the product of p and q?

Question

anonymous · Answer

a. the coefficient of the x^2 term
b.the degree
c.coefficient of the x term
d.the constant

anonymous · Answer

If $p$ and $q$ are constants, what happens when you multiply two constants? As in, what do you get?

anonymous · Answer

I'm not sure... would they get squared?

anonymous · Answer

That's not exactly what I'm asking.

For example, 2 is a constant, and 1 is a constant. Multiplying, you have 2x1 =2, and 2 is another constant.

So if $p$ and $q$ are constants, what is $pq$?

anonymous · Answer

I'm really confused, I'm sorry I'm teaching this to myself...

anonymous · Answer

Constant times constant is ...?

anonymous · Answer

uuuhhh I really don't know my work book didn't say anything about that

anonymous · Answer

The point I'm making is that a constant times a constant is just another constant.

This means that
$$(x+p)(x+q)=x^2+(p+q)x+\underbrace{pq}_{\large\text{is constant}}$$

anonymous · Answer

*facepalm* that's what I thought it was thank you

anonymous · Answer

You're welcome