When a trinomial is factored as (x+p)(x+q), what is the product of p and q?

2 answers:

8 0

Hello :
(x+p)(x+q)= (x+p)² = x²+xq +xp +pq
x² + (p+q)x +pq .... is the trinomial is factored as (x+p)(x+q),

Aneli [31]4 years ago

7 0

The answer is the coefficient of the x-tem of the trinomial

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3 years ago

Please help!!! I don’t understand it at all and I need it ASAP!

Ivenika [448]

9514 1404 393

Answer:

$\textbf{D.}\quad g(x)=\sqrt{x+6}+4$

Step-by-step explanation:

A lot of math is about matching patterns.

For example, ...

g(x) = f(x -h) +k

means g(x) is the function f(x) translated right by h units and up by k units. This will be true for any expression of f(x).

In this problem, f(x) = √x. We want to translate it left 6 units (h=-6)*, and up 4 units (k=4).

The notation above means that we will replace x with (x-h) = x+6. and we will add k = 4 to the result.

f(x) = √x

g(x) = f(x+6) +4

g(x) = √(x+6) +4 . . . . . . matches choice D

_____

* Left is the opposite of right, so left 6 units is the opposite of right 6 units. h=6 for right 6 units, so h=-6 for left 6 units. Then x-h = x-(-6) = x+6.

Comment on the graph

I find it useful to see a picture with these things. In the attached graphing calculator output, the blue curve is left 6 and up 4 from the red curve. The blue curve is g(x); the red one is f(x).