Question

The volume of a box, a rectangular prism, is represented by the function f(x) = x3 + x2 – 17x + 15. The length of the box is (x + 5), and the width is (x – 1). Find the expression representing the height of the box.
x – 1
x – 3
x – 5
x + 3

Answer 1

Answer:

x-3

Step-by-step explanation:

(x+5)(x-1)(height)=x3+x2-17x+15

x2+5x-1x-5(h)=x2+4x-5

so what times x2+4x-5 will equal the volume

look at the constant -5 and think what will multiply with that to get 15 so -3 right so then check the rest of it by doing (x2+4x-5)(x-3) =x3−3x2+4x2−12x−5x+15

=x3+x2−17x+15 so the answer is x-3

Hope this helps! :)