Questions on Algebra: Complex Numbers answered by real tutors!

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Question 377607: o NEED TO WRITE A POLYNOMIAL FUNCTION OF LEAST DEGREE THAT HAS REAL COEFFICIENTS, THE GIVEN ZERO, AND LEADING COEFFICIENT OF 1.
First problem gave me the zeros of 2, -2 and -6i
Therefore to start:
(X-2)(X+2)(X+6i)
I multiplied (X-2)(X+2) and got (x2 - 4)
next I multiplied (x2 - 4)(X+6i) using the FOIL method
x3 + 6x2i - 4x - 24i
I know that i2 = -1 and that i = rad -1 but don't know how to deal with the "i" in this problem to make it a polynomial function.
Click here to see answer by Fombitz(32388)

Question 377769: what are the steps for solving a problem such as (6-3i)(4+2i) ?
Click here to see answer by Alan3354(69443)

Question 377901: The sum of three numbers is 18. The sum of the first and second number is 15, and the first number is 3 times the third number. Find the numbers
Click here to see answer by richard1234(7193)

Question 377230: write the equation as a complex number in standard form.
-2-5i over 3i or -2-5i/3i
Click here to see answer by richard1234(7193)

Question 377937: how to simplify b+9+b-2=
Click here to see answer by robertb(5830)

Question 379030: please help me solve this equation: 4/x-1/2
Click here to see answer by stanbon(75887)

Question 379680: Simplify this complex fraction. Reduce to lowest terms.
1/9 + 1/3x
-------------------------
x/9 - 1/x
Click here to see answer by nerdybill(7384)

Question 380075: !: how to find the additive inverse of each number ?
exp: -4+7i
how to find the absolute value of each complex number ?
exp: |1 - 4i|
Click here to see answer by kingme18(98)

Question 380151: Perform the indicated operation and write the result in standard form.
(1+2i)/(1-2i) + (1-i)/(1+2i)
(a) (-4+i)/5
(b) (2+i)/5
(c) (-4+i)/3
(d) (-4+4i)/3
(e) None of the above
Click here to see answer by robertb(5830)

Question 380277: how can i solve these two problems with the quadratic formula.
6x^2+x-2=0
3x^2+18x+15=0

Click here to see answer by CharlesG2(834)

Question 380368: I have a problem about factoring two variables I do not understand it. I need it worked out step by step. I hope someone can help me I am lost and do not know what else to do. Please go step by step.
h^2 - 9hs + 9s^2
Thank you so much I have not found anyone who has been able to help me.

Click here to see answer by Alan3354(69443)

Question 380373: I have a problem I need worked out and I do not understand it. I need it step by step please. It is factor each trinomial using the ac method. I hope someone can help me.
21x^2+2x-3
Thank you so much!

Click here to see answer by jim_thompson5910(35256)

Question 380561: how do you write (-1+i)-(7-5i) as a complex number in standard form
Click here to see answer by nerdybill(7384)

Question 380882: When trying to check a solution, say that your answer is 9+5i what is i equal to so that when you check you can plug that in
Click here to see answer by Fombitz(32388)

Question 380932: a * (1/a) = 1 (a 0)
i get confused with these formulas
Click here to see answer by robertb(5830)

Question 381117: (4+2i)+(-1+3i)
Click here to see answer by jim_thompson5910(35256)

Question 381141: The question wants you to find the complex zeros and factor the polynomial in standard form: F(X) = x^3 - 1.
Click here to see answer by neatmath(302)

Question 381527: -2+i
Click here to see answer by stanbon(75887)

Question 381656: How do you solve for x? f(x)=x^3/(x^2-4)
Click here to see answer by Fombitz(32388)

Question 381680: 3x(x-5)=2
Click here to see answer by Fombitz(32388)

Question 381819: (7-6i)+(9+11i)
Click here to see answer by richard1234(7193)

Question 381701: hello all,
I am taking grad level complex algebra and i will appreciate if anyone can help me with the following problem:
Find the common greatest divisor between 3+4i and 4-3i
Click here to see answer by Edwin McCravy(20054)

Question 382096: √(2x+15)=x+6
Click here to see answer by edjones(8007)

Question 382380: what is this simplified:(-5-8i)-(-4-6i)
What is this simplified: (3+i)/(2-i)
Click here to see answer by stanbon(75887)

Question 383034: e^x = 5 convert to logarithmic equations
Click here to see answer by edjones(8007)

Question 383037: What is a complex number in standard form for the expression (1-3i)-(5+4i)-12i?
Click here to see answer by CharlesG2(834)

Question 383150: Let z1, z2 and z3 be three complex numbers in geometric progression. Suppose that the
average of these numbers is 10, while the average of their squares is 20i. Determine the
value of z2, the middle term.
Click here to see answer by Jk22(389)

Question 383516: 1/2(x-4)^2=8
Click here to see answer by mananth(16946)

Question 383580: I need help with complex numbers. We have been working on them all week, but it's a little hard to understand. Will you help me?
Click here to see answer by CharlesG2(834)

Question 383666: how do you solve x^2+x-5=0 and come out with the answer
Click here to see answer by Alan3354(69443)

Question 384096: say u+iv (where u and v are real numbers, and i is the imaginary unit) is a root of a quadratic polynomial; then, is u-iv also a root of that polynomial? Why, or why not?
Click here to see answer by richard1234(7193)

Question 384511: Could someone help me with this problem. I am lost. Step by step so I can understand what is done please.
Fast food. If four out of five doctors prefer fast food, then at a convention of 445 doctors, how many prefer fast food?
Click here to see answer by rfer(16322)

Question 384509: could someone show me how to work this out. I am lost. Thank you so much.

Rise and run. If the rise is 3/2 and the run is 5, then what is the ratio of the rise to the run?
Click here to see answer by rfer(16322)

Question 384767: solve for x in terms of i.
(5+i)x+1-3i=(2-3i)x+2-i
Click here to see answer by ewatrrr(24785)

Question 384770: express in polar form, using the smallest non-negative value for the argument.
-1/2 + radical 3/2 i
Click here to see answer by stanbon(75887)

Question 384772: perform the indicated operation, using polar form.
4cis pie * 3cis(-pie over 2)

b) 2(cos pie + i sin pie) * 5( cos 3pie over 4 + i sin 3pie over 4)
Click here to see answer by stanbon(75887)

Question 384769: z=r(cos theta + i sin theta) show:
a) {z}=r
b) 1/z = 1/r(cos theta - i sin theta)
Click here to see answer by stanbon(75887)

Question 384862: a+6/a-8 divide by 4a+24/a-9

divide and simplify
Click here to see answer by stanbon(75887)

Question 384891: I don't need answers I just need you to explain how to do the problem

1) 4/8 + 2y/8xy
2) a�+a-72/8a * 1/a-8
3) 9a/16a^3-64a� / 9a/6a-24

Click here to see answer by Alan3354(69443)

Question 385138: if f(x)=x-3 divided by 2 then f(1 divided by 4) is equal to
Click here to see answer by mananth(16946)

Question 385138: if f(x)=x-3 divided by 2 then f(1 divided by 4) is equal to
Click here to see answer by stanbon(75887)

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