Question

Zach wrote the formula w(w-1)(5w + 4) for the volume of a rectangular prism he is designing, with width w, which is always has a positive value greater than 1. Find the product and then classify this polynomial by degree and by number of terms.
Choices:)
A.) 5w^5 - w^4 - 4w^3; quintic trinomial
B.) 20w^2; quadratic monomial
C.) 5w^3 - w^2 - 4w; cubic trinomial
D.) 5w^4 - w^3 - 4w^2; quartic trinomial

Answer 1

Well, first I would factor the (w-1)(5w+4) and the multiple the result by the remaining w. See which answer choice you get.

Answer 2

When you factor (w-1)(5w+4) without multiplying the remaining with the w do you get 5w^2 - 4w + 5w + 4

Answer 3

Not quite.

The first and last terms are correct but you need to:

(-1)(5w) and (4)(w)

In other words, look at you signs. Also, you should add those two together because they share a common variable (w to the 1st power).

Now multiply that equation by w and you should see your answer appear.

Answer 4

is the answer C ? 5w^3 - w^2 - 4w; cubic trinomial

Answer 5

I dunno. Can we give proof for why?

Answer 6

Because that's what I got when I figured out the problem, I was just making sure it's right.

Answer 7

That is correct.

Answer 8

Alright Thank you :)