Which expressions are equivalent to x
2
+
4
x
2
+4x, squared, plus, 4 ?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
x
+
2
i
x
−
2
i
x−2i
x+2i
​
start fraction, x, plus, 2, i, divided by, x, minus, 2, i, end fraction

(Choice B)
B
(
x
+
4
i
)
(
x
−
i
)
−
3
x
i
(x+4i)(x−i)−3xileft parenthesis, x, plus, 4, i, right parenthesis, left parenthesis, x, minus, i, right parenthesis, minus, 3, x, i

(Choice C)
C
(
x
+
2
i
)
(
x
−
2
i
)
(x+2i)(x−2i)left parenthesis, x, plus, 2, i, right parenthesis, left parenthesis, x, minus, 2, i, right parenthesis

(Choice D)
D
(
x
+
i
)
(
x
+
4
i
)
−
5
x
i
(x+i)(x+4i)−5xileft parenthesis, x, plus, i, right parenthesis, left parenthesis, x, plus, 4, i, right parenthesis, minus, 5, x, i

44

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%

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.  

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!