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217 Answered Questions for the topic Complex Numbers

Complex Numbers Polynomials Polynomial Functions Zeros

11/26/19

How do I write the polynomial function of 5/3 and 2i?

My worksheet is asking me to write a polynomial function of least degree with integral coefficients that has the given zeros. I don’t remember how to write polynomial functions with imaginary... more

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Complex Numbers Algebra College Algebra

11/03/19

Complex numbers problem

Hi, what is the best way to rationalize the denominator and simplify the following: 2-3i/4+3iThanks!

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Complex Numbers Geometry Polynomials

10/29/19

Help with geometry problem

Let $ABC$ be a triangle. Points $A_1, B_1, C_1$ are, respectively, on sides $BC, AC, AB$ and:$\frac{AC_1}{C_1B} = \frac{BA_1}{A_1C} = \frac{CB_1}{B_1A} eq 1$If $\frac{AB}{A_1B_1} =... more

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Complex Numbers Precalculus

10/11/19

Complex Zeros: Find the remaining zeros of f

I just need one of my homework questions explained, because I really don’t understand... ”Information is given about a polynomial function f(x) whose coefficients are real numbers. Find the... more

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Complex Numbers Algebra 2

10/08/19

Three complex numbers z1, z2 and z3 all have the same magnitude. Given the three numbers form the vertices of an equilateral triangle on an argand diagram, find each complex number.

The complex numbers are spaced evenly around the argand diagram Give your answer in the form a+bi

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Complex Numbers Algebra 2 College Algebra Pre College mathematics

10/08/19

(a+bi)(c+di)=(3+36i) - Complex Numbers Equation Help

I got no solution for this question but apparently it isn't right:Directions: Find Integers a,b,c,d such that: (a+bi)(c+di)=(3+36i)

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Complex Numbers Precalculus Trigonometry

05/29/19

If z1, z2 are complex numbers of amplitudes theta1, theta2. Then the amplitude of 3*Z1/Z2

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Complex Numbers Algebra 2 Polynomials

05/27/19

Finding the complex roots of a polynomial of the fourth degree.

I was working throught a question in my math book to which I found an answer, but an incorrect one. I was hoping that you guys could help me find the error in my calculations. Question: The... more

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Complex Numbers Algebra 2 Radicals

05/23/19

√(-3) × √(-3) = -3 why not 3

√(-3) × √(-3) = -3or√(-3) × √(-3) = √(-3×-3)=√9=3

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Complex Numbers Trigonometry

05/05/19

Show that the summation of 42Cr * sin (rx) for r from 0 to 42 = (2 cos (x/2))^42 * sin (21x)

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Complex Numbers Precalculus Polynomials

03/29/19

Pre-Calc: A polynomial with a specified complex zero

Hello! I am currently stuck on a homework question and I keep getting it wrong. Here is what the question is asking: Find a polynomial with integer coefficients that satisfies the given... more

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Complex Numbers Math Algebra 1

03/21/19

consider the following quadratic equation

-4x^2 +bx-11=0Determine a possible value of b so that the quadratic has two complex solutions.A.)14B.)-16C.)-14D.)12

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Complex Numbers Algebra 2

03/16/19

Do the solutions of x^2 - 10ix - 29 = 0 which are (5i - 2) and (5i + 2) satisfy the conjugate root theorem?

So for a Math assignment I have been posed with the question why do the two solutions above satisfy the conjugate root theorem? can any one please help because I can't come up with a proper... more

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Complex Numbers Algebra 2 Multiplicity

03/15/19

The zeros of P(x)=x^2+4 are (and multiplicity)

The zeros of P(x)=x^2+4 are x1= ……. + ………. i with negative imaginary part,it's multiplicity is ………… ; and x1= ……. + ………. i with positive imaginary part,it's multiplicity is ………… .thanks a lot

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Complex Numbers Linear Algebra

03/14/19

What is the "standard basis" for fields of complex numbers?

What is the "standard basis" for fields of complex numbers? For example, what is the standard basis for $\\Bbb C^2$ (two-tuples of the form: $(a + bi, c + di)$)? I know the standard for $\\Bbb... more

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Complex Numbers Algebra 2

03/09/19