4
3x4 plus 5x3 plus x2 - 5 divided by x 2 =[(3x4) + (5x3) + (x2 - 5)]/x2 =(12 + 15 + x2 -5)/x2 =(27 - 5 + x2)/x2 =(22 + x2)/x2
x= x2/x= x
0.5
Answer: (x-2) (x2-5x+6)/(x-3) =(X-3)X(X-2)/(X-3) <-You factor the expression (x2-5x+6) and get (x-3)(x-2) =(X-2) <-The (x-3)'s in the numerator and denominator cancel each other out (because an expression divided by the same expression equals one) and thus you are left with (x-2).
4
The remainder is 8. (x2 + 4)/(x - 2) = (x + 2) + 8/(x - 2) or x2 + 4 = (x - 2)(x + 2) + 8
X2 (X squared)
3x4 plus 5x3 plus x2 - 5 divided by x 2 =[(3x4) + (5x3) + (x2 - 5)]/x2 =(12 + 15 + x2 -5)/x2 =(27 - 5 + x2)/x2 =(22 + x2)/x2
The antiderivative of x/(x2-1) is ln(x2-1)/2. Proof: (ln(x2-1)/2)' = (1/(x2-1))*(x2-1)'/2=1/(x2-1)*(2x/2)=x/(x2-1).
if x2 = 5 the value of x has to be 5 divided by 2 which is 2.5 x = 2.5
x= x2/x= x
0.5
-2
Answer: (x-2) (x2-5x+6)/(x-3) =(X-3)X(X-2)/(X-3) <-You factor the expression (x2-5x+6) and get (x-3)(x-2) =(X-2) <-The (x-3)'s in the numerator and denominator cancel each other out (because an expression divided by the same expression equals one) and thus you are left with (x-2).
x2 divided by x would simply be x.
The reciprocal of any expression is 1 divided by that expression. In this case, the reciprocal of x2 is 1/x2. This can also be written as (1/x)2, or as x-2.