We are dividing the polynomial

by x+4
notice that

is x times 2x,
so if we multiply (x+4) by 2x, which gives us

, we can 'separate' one

from

to get the following simplification:

similarly we notice that 5x is x times 5, so if we multiply (x+4) by 5, we get 5x+20 so we can rewrite


can not be simplified any further since the degree of 6, is smaller than the degree of x+4
combining our work, we have:

Answer:
q(x)= 2x+5
r(x)=6
b(x)=x+4
Remark: we can solve the problem by long division or the division algorithm as well.
Answer:
(8x^9 x y^4) : (1/2x^3)=16x^6y^4
Step-by-step explanation:
8 : 1/2 = 16
x^9 : x^3 = x^6
Answer:
10
Step-by-step explanation:
We start by getting the value of x
We have this as follows:
5x ≤ 43 + 11
5x ≤ 54
x ≤ 54/5
x ≤ 10.8
As we can see, the maximum integer closest to this decimal is the value 10