What is the balance as result of having a credit of $84 and a debit of $29

Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu

Softa [21]

Answer-

The polynomial function is,

$y=x^4-10x^3+38x^2-64x+40$

Solution-

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

$\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))$ ( ∵ (3-i) is the conjugate of (3+i) )

$\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)$

$\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)$

$\Rightarrow y=(x^2-4x+4)(x^2-6x+10)$

$\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10$

$\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40$

$\Rightarrow y=x^4-10x^3+38x^2-64x+40$

Therefore, this is the required polynomial function.

4 0

3 years ago

Desarrolla el siguiente cuadrado de binomio (2x³ - 6x)²

gulaghasi [49]

Answer:

$4x^{6} - 24x^{4} + 36x^{2}$

Step-by-step explanation:

8 0

2 years ago

PLS HELP DUE SOON!!!!:(

Len [333]

Answer:

I don't know how to answer question 1, but the answer from question 2 is x=5

Step-by-step explanation:

The triangle shown is an isosceles triangle because it has two congruent sides. The base angles of isosceles triangles are congruent so ∠y=∠x. since the ∠x is 52 the ∠y is also 52. We subtract the measure of angles x and y in order to find the measure of the third angle. 180-(52+52) or 180-104 is 76. this means that 14x=6=76. All we have to do to get the answer now is solve. 76-6 is 70 and 70 divided by 14 is 5. x=5.

5 0

2 years ago

If the correlation coefficient is .87, is its relationship considered to be strong positive,weak positive,strong negative,weak n

myrzilka [38]

Answer:

strong positive correlation co efficient

Step-by-step explanation:

correlation:-

A correlation co-efficient is a numerical measure of some type of correlation,meaning a statistical relationship between two variables.

positive correlation:-

Positive correlation occurs when an increase in one variable increases the value in another.

Negative correlation:-

negative correlation occurs when an increase in one variable decreases the value of another.

Strong positive correlation:-

A co-efficient of correlation of + 0.87 indicates a strong positive correlation between the independent variables

Strong negative correlation:-

A co-efficient of correlation of - 0.87 indicates a strong negative correlation between the independent variables.

Zero correlation:-

There is no relationship is called zero correlation

weak positive correlation:-

A co-efficient of correlation below 0.2 indicates a weak positive correlation between the independent variables.

weak negative correlation:-

A co-efficient of correlation below -0.2 indicates a weak negative correlation between the independent variables.

8 0

2 years ago

Solve 5(x/2+3)=35 what is the answer

evablogger [386]

Answer:

x=8

Step-by-step explanation:

5(x/2+3)=35

x/2+3=35/5

x/2+3=7

x/2=7-3

x/2=4

x=4*2

x=8

8 0

2 years ago

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