Question

If c(x) = 4x – 2 and d(x) = x2 + 5x, what is mc008-1.jpg?
4x3 + 18x2 – 10x
x2 + 9x – 2
16x2 + 4x – 6
4x2 + 20x – 2

Answer 1

To determine \( mc008-1.jpg \), we first need to identify what this expression represents. It seems that we need to perform some kind of operation on the functions \( c(x) \) and \( d(x) \).

Given:
- \( c(x) = 4x - 2 \)
- \( d(x) = x^2 + 5x \)

A common operation might be \( c(x) \cdot d(x) \) or \( c(x) + d(x) \). However, since we have a \( mc008-1.jpg \) notation, it likely implies some combination of multiplication and possibly addition.

Let's calculate \( c(x) \cdot d(x) \):

\[
c(x) \cdot d(x) = (4x - 2)(x^2 + 5x)
\]

Using the distributive property (FOIL method):

\[
= 4x \cdot x^2 + 4x \cdot 5x - 2 \cdot x^2 - 2 \cdot 5x
\]

\[
= 4x^3 + 20x^2 - 2x^2 - 10x
\]

Now combine like terms:

\[
= 4x^3 + (20x^2 - 2x^2) - 10x
\]

\[
= 4x^3 + 18x^2 - 10x
\]

Now we have:

\[
c(x) \cdot d(x) = 4x^3 + 18x^2 - 10x
\]

Therefore, \( mc008-1.jpg \) is:

\[
\boxed{4x^3 + 18x^2 - 10x}
\]