A simple way to do this problem would be to factor x^2-x-12 into (x+3)(x-4)
we can then write:
(x+3)(x-4)/(x-4) and then the (x-4) in the top and bottom of the fraction both cancel leaving just x+3 as the solution.
6
Divide coefficients and subtract exponents of the same variable. EX: (20 x6) / (4 x2) = 5 x4
1817 litres
sqrt(x4) = x4/2 = x2
N = x4 x8 = x4+4 = (x4)2 = N2
6
( -12 x8 y8 ) / ( 3 x4 y2 ) = -4 x4 y6
Divide coefficients and subtract exponents of the same variable. EX: (20 x6) / (4 x2) = 5 x4
X4.
1
(x4 - 3)(x4 + 3)
1817 litres
sqrt(x4) = x4/2 = x2
264
To demonstrate that the function x3 is in the set o(x4), you can show that the limit of x3 divided by x4 as x approaches infinity is equal to 0. This indicates that x3 grows slower than x4, making it a member of the set o(x4).
x times x times x times x = x4
(x2 + y2)(x + y)(x - y) = x4 - y4.