X^3 - 5x^2 + 3x - 8/x - 3
Steps
First, divide x^3 - 5x^2 + 3x - 8/x - 3: x^3 - 5x^2 + 3x - 8/x - 3 = x^2 + -2x^2 + 3x -8/x - 3
= x^2 + -2x^2 + 3x - 8/x - 3
Second, divide -2x^2 + 3x - 8/x - 3: -2x^2 + 3x - 8/x - 3 = -2x + -3x - 8/x - 3
= x^2 - 2x + -3x - 8/x - 3
Third, divide -3x - 8/x - 3: -3x - 8/x - 3 = -3 + -17/x - 3
= x^2 - 2x - 3 + -17/x - 3
Lastly, simplify
= x^2 - 2x - 3 - 17/x - 3
A,c and d appear in the diagram except b
a:< DCE
c: line CE
d: line AB
all of these are in it while
b:< CDE
is not present in it, because there is no anglethat is formed on d
Well to solve this, lets plug in some numbers. Lets assume that for now, the starting number is 2. If it increases by 100%, bringing it up to 4, then decreases 100%, it is brought down to zero. Now one thing to note is that any number decrease by 100% is automatically zero. Watch, we start with two, it is then increased by 150%, bringing it up to 5, then decreased by 100%, bringing it back down to zero. In conclusion, 100% cannot be specified as a value, but rather a relation. 100% represents the entire number, meaning that if you are decreasing a number by 100%, you are basically subtracting the number by itself!
First simplify like terms (things with the same letter):
3g + 7g + 8 = -10 + g
10g + 8 = -10 + g
Next we should take g off both sides:
9g + 8 = -10
Next isolate 9g by taking 8 off both sides:
9g = -18
Next divide both sides by 9 to find the value of g:
g = -2
How many times does (4) go into (37) ? 9 TIMES.
Remainder 1.
So as a mixed number would be 9 whole number, 1/4
= (9 1/4)