Question

The binomials shown below will be multiplied to produce a quadratic trinomial. (x + p)(x + q) Which part of the trinomial will equal the sum of p and q?
a.the coefficient of the x term
b.the constant term
c.the degree
d.the coefficient of the x^2 term

Answer 1

Multiply the two binomials using FOIL.

\((x + p)(x + q) \)

\(= x^2 + qx + px + pq\)

\(=x^2 + (p + q)x + pq\)

Answer 2

So what would the answer be? I don't understand @MaxwellSmart

Answer 3

Do you see anywhere the sum of p and q, such as p + q?

Answer 4

What does (p + q) multiply?

Answer 5

I don't know I'm really confused....

Answer 6

I break down the question in your problem into small questions that are easy to answer.
You don't need to know much to answer my questions.
I asked if you see (p + q) in what I did.
Do you see it or not?

Answer 7

you multiplied it by x?

Answer 8

Exactly.
You do see (p + q) in the last equation I wrote.
It is multiplying the x in the middle term.
The number that multiplies a variable is called coefficient.
That means (p + q) is the coefficient of the x-term.

Answer 9

Thank you c:

Answer 10

You're welcome.