If c(x) = 4x – 2 and d(x) = x2 + 5x, what is (cxd)(x)

(cxd)(x) = 4x^3 + 18x^2 - 10x

Step-by-step explanation:

We have two functions:

c(x) = 4x – 2

d(x) = x2 + 5x

And we need to find (cxd)(x) which is the multiplication of both functions:

(cxd)(x) = (4x – 2)(x^2 + 5x) = 4x × x^2 + 20x^2 - 2x^2 -10x

= 4x^3 + 18x^2 - 10x

Then: (cxd)(x) = 4x^3 + 18x^2 - 10x

Step-by-step explanation:

You know that the function and the function are:

Then, in order to find you need to multiply the function by the function :

You must remember the Product of powers property, which states that:

Now you can apply Distributive property:

Finally, add the like terms. Then: