Factor this polynomial expression. 3x2 - 12x + 12

(3x-6)(x-2)

Step-by-step explanation:

To factor this expression, you should divide the 12x into parts.

3x - 6x - 6x +12 works,

so factor 3x^2 and -6x = 3x(x-2)

then factor  6x and 12 to match the first expression, -6(x-2).

Both expressions have (x-2) in common, so you can factor the two resulting expressions: (3x-6)(x-2).

2/3x + 7 = 29

step-by-step explanation:

two thirds = 2/3

plus a number = x

at least 29 = 29

there for you should get 2/3x + 7 = 29

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%