Question

If p(x) = 2x^2 -4x and q(x)=x-3 what is (pxq)(x)

Answer 1

`(2x^2-4x)*(x-3)=(p*q)(x)`

Step-by-step explanation:

`(p*q)(x)` is basically asking what
`p(x)` multiplied by
`q(x)` is. If it said something like
`(p*q)(3)`, then the equation would be
`(2[3]^2-4[3])*([3]-3)`. Whatever that number/letter after the
`(p*q)` is fills in the x's.

Hope this helped!!

Answer 2

2x^3-10x^2+12x

Step-by-step explanation:

P and Q stand for different functions of x. Basically, all you need to do is multiply the two functions together. It may seem confusing, but you can also write the problem as p(x) · q(x). Expanding (p · q)(x) ⇒ p(x) · q(x)

So, if you substitute, you will get:

(2x^2 -4x)(x-3)

You can use the box method, which is one of the easiest methods, in my opinion.

There are 3 terms in the first equation and 2 in the second, so you will need to make a box 3 wide and 2 tall. Put each term of the first equation over a box on the top. (Make sure to include the sign as well) Do the same with the other equation, but on the side.

Multiply each term as they meet in the boxes (you should end up with six new terms after multiplying everything) and add them together, combining like terms.

After doing this, you will have your answer. Let me know if you need anything clarified. Hope I helped!