The area of a rectangular deck can be modeled by f(x) = 2x3 + 30x2 – 6x – 90. If x + 15 represents the width, which expression r

Question

spin [16.1K]

3 years ago

5

The area of a rectangular deck can be modeled by f(x) = 2x3 + 30x2 – 6x – 90. If x + 15 represents the width, which expression r

epresents the length?

Mathematics

2 answers:

zhannawk [14.2K] · Answer 1 · 2021-12-29T06:03:05+03:00

zhannawk [14.2K]3 years ago

4 0

Divide f(x) by x + 15

this comes to 2x^2 - 6 which represents the length

vodka [1.7K] · Answer 2 · 2021-12-29T08:00:51+03:00

vodka [1.7K]3 years ago

4 0

Area of a rectangle = length * width
<span>
f(x) = 2x</span>³ + 30x² – 6x – 90
f(x) = 2(x³ + 15x² – 3x – 45)
f(x) = 2(x²(x + 15) – 3(x+15))
f(x) = 2(x²-3)(x+15)

If <span>width </span>= x+15, then
length = 2(x²-3) = 2x²-6