Determine the quotient and check your answer

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  4x^2 +16x +42 +92/(x -2)

Step-by-step explanation:

Synthetic division tells you the quotient is 4x^2 +16x +42 with a remainder of 92. To check this, we can multiply the quotient by the divisor and add the remainder:

  (x -2)(4x^2 +16x +42) +92

  = x(4x^2 +16x +42) -2(4x^2 +16x +42) +92

  = 4x^3 +16x^2 +42x -8x^2 -32x -84 +92

  = 4x^3 +8x^2 +10x +8 . . . . . the original dividend, as required

2160ft3

step-by-step explanation:

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%