Answer:
f(x)= x^3-5x^2-23x-12
Step-by-step explanation:
Given:
function f(x) divided by x + 2, the quotient is x2 – 7x – 9 and the
remainder is 6
When a polynomial f(x) is divided by any another polynomial d(x) and there is q(x) and r then it can be written as:
f(x)= d(x)q(x) + r
Now putting values of d(x)= x+2, q(x)= x2 – 7x – 9 and r=6, we get
f(x)= (x+2)(x^2-7x-9)+6
f(x)= x^3 -7x^2-9x+2x^2-14x-18+6
= x^3-5x^2-23x-12 !
That expression can’t be simplified and the answer is unknown. Finding what 3x+4y is impossible unless more information is provided.
The divergence theorem applies since

is a closed surface. We have

where

is the space enclosed by the surface

. The divergence of the given vector field is

So we can write the volume integral (in spherical coordinates) as
Answer:
x + 7
Step-by-step explanation:
x2 + 4x − 21
set equal to 0
x2 + 4x − 21 = 0
factor
(x - 3) (x + 7)
x2 + 11x + 28
set equal to 0
x2 + 11x + 28 = 0
factor
(x + 4) (x + 7)