If x-2 is a factor of x^m - 3x^m-1 +4x-4,find the value of m.

Explanation:

By Factor Theorem,

(2)^m - 3(2)^(m-1) + 4(2) - 4 = 0.

=> 2^m - 1.5 * 2^m + 4 = 0

=> 4 - 0.5 * 2^m = 0

=> 0.5 * 2^m = 4

=> 2^m = 8

=> m = 3.

Hence the value of m is 3.

1. 1 mole of anything contains 6.022x10^23 pieces  

d  

2. a  

3. c, number  

5. 1.24x10^24atoms / 6.022x10^23atoms/mole = 2moles h2 atoms  

6. fe2br3 mass = 2moles x mass fe + 3 moles x mass br  

molar mass = grams / number of moles = g/mole  

to find moles = g / molar mass  

to find mass = g = molar mass / moles