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.
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
Stacey Warren - Expert brainly.com
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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.
When you factor (w-1)(5w+4) without multiplying the remaining with the w do you get 5w^2 - 4w + 5w + 4
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.