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?

Answer 1

A. The constant term
B. The coefficient of the x-term
C. The degree
D. The coefficient of the x2-term

Answer 2

let's see if we can find it... let's try an example, let's set p = 2 and q= 3

so \(\large (x+2)(x+3)\implies
\begin{array}{rrllll}
x+2\\
\times x+3
\\\hline\\
x^2+2x\\
3x+6\\
\hline\\
x^2{\color{blue}{ +2x+3x}}+6\\
\hline\\
x^2{\color{blue}{ +5x}}+6
\end{array}\)

see which one is it now?

Answer 3

Wouldn't that be:
(x + p)(x + q)
x * x = x^2
x * q = xq
p * x = xp
p * q = pq
x^2 + xq + xp + pq?

Answer 4

I'm lost?

Answer 5

well.. do you know what a "constant term" is? and a "coefficient" ?

Answer 6

Yet it's supposed to be a trinomial?

Answer 7

Constant = Variable.
Coefficient = Before variable.
Example = 2c, with c being constant and 2 being coefficient.

Answer 8

Oh ok

Answer 9

Degree = 2c^1, 2, 3, etc.

Answer 10

X2 would be x^2.

Answer 11

ah

Answer 12

wait so it would be d?

Answer 13

But are you sure it's (x + p)(x + q)? I'm not sure how that will equal a trinomial.

Answer 14

yea that's what it says

Answer 15

And it is more likely to be B, I think, but I'm a bit confused as well.

Answer 16

ah ok, yeah the question is confusing