This is a simple example:-
x + 9
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x - 1 ) x^2 + 8x - 9
x^2 - x subtract
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9x - 9
9x - 9
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..........
First divide x into x^2 to give x which goes above
Then multiply x - 1 by x to give x^2 - x
Subtract this fro x^2 + 8x gives 9x
Bring down the - 9 then divide x into 9x
and finally multiply x - 1 by 9 to give 9x - 9
Finally subtract and you sre done. There is no remainder as x - 1 is a factor of x^2 + 8x - 9.
The polynomial must be in descending powers of x . If one is missing you insert it with a coefficient of zero before you start the division.
for example if you have x^3 - 3x + 12 you write it as
x^2 + 0x^2 - 3x + 12
The slope of the line would be - 6/5 x by just taking a look at the equation
Answer:
10√2
Step-by-step explanation:
If x=1+√2, evaluate x³+1/x³
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- x³+1/x³= (x+1/x)(x²-x*1/x+1/x²)=(x+1/x)(x²+1/x²+2-3)= (x+1/x)((x+1/x)²-3)
- x+1/x= 1+√2 + 1/(1+√2)= 1+√2+(1-√2)/(1-√2)(1+√2)= 1+√2 - (1-√2)= 2√2
- x³+1/x³= 2√2((2√2)²-3)= 2√2(8-3)= 10√2
(simplest form)
9/20 = 45% as a fraction
3/25 = 12% as a fraction
Hope this helps!!!
