Answer:
= x^4 -x^3 -4x^2 -3
Step-by-step explanation:
f(x) = x^4 -x^2 +9
g(x) = x^3 +3x^2 +12
We want to find f-g
(f-g) (x) = x^4 -x^2 +9 - (x^3 +3x^2 +12)
Distribute the minus sign
(f-g) (x) = x^4 -x^2 +9 - x^3 -3x^2 -12
= x^4 -x^3 -4x^2 -3
Answer:
<em>Width</em>: 3y²
<em>Length</em>: 4 + 7y³
Step-by-step explanation:
The area of the rectangle is the length multiplied by the width. For the area given: 12y² + 21y⁵
12y² = 3y²*4
21y⁵ = 3y²*7y³
So, the greatest common monomial factor is 3y², which is the width.
The area is 3y²*(4 + 7y³), the first term is the width, the other must be the length: 4 + 7y³.
Answer:
Step-by-step explanation:
the objects which have less density than water will float
and the objects which have more density than the density of liquid will sink in liquid or will not float.