三=,=▼EEX 7 Divide the polynomial using your factor from part a: What were the factors you got after you divided the polynomial using a generic rectangle? c. x-27 y=x - 27 = ( x + 0x + 0x - 27 Using the graph, what is a factor for this polynomial? (x-27 )

Q: Use complex numbers

A: 81a4−64b4=(3a+22​bi)(3a−22​bi)(3a+22​b)(3a−22​b)​Explanation:Step 1:​ Let A=81a4−64b4​Step…

Q: Multiply complex numbers 3(cis122)4(cis213)

A: Given complex numbers: 3(cis122)4(cis213)

Q: 10 2) z = (-j)()

A: We have to use De Moivre's theorem cosθ+jsinθn=cosnθ+jsinnθ and Eular form of complex number…

Q: Transçorm the complex number into its tectangulan and exponential form.

A: We use transformation formula to write it in exponential form. The given complex number is already…

Q: 7-i/-i divide complex number

A: Given : 7-ii

Q: Factor over complex numbers into a product of linear factors x2n + x" + 1

A:

Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in…

A: Demoivers theorem

Q: Pleasantly, when we multiply a complex number z = a + bi by its complex conjugate z, we get a real…

A: 1+4i5-3i=1+4i5-3i*5+3i5+3i1+4i5-3i=(1+4i)(5+3i)52-(3i)21+4i5-3i=(5+3i+20i+12i2)25-9i21+4i5-3i=5+3i+2…

Q: Show how the division algorithm for complex numbers works. Give at least 3 illustrations

A: To show how the division algorithm for complex numbers works with the help of three examples.

Q: Prove:The addition of complex number is associative.

A:

Q: Let M Find formulas for the entries of M", where n is a positive integer. (Your formulas should not…

A:

Q: V5+12i+v5-12i Show that the complex conjugate is equal to - V5+12i-V5-12i

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 22) -2 +4i -10-6i

A:

Q: Find all (real or complex) numbers z₁ and z2 such that 21+22=-6-3i Z1²2=3+11i

A: Given that:      z1+z2=-6-3iz1z2=3+11i The objective is to find all real and complex numbers z1  and…

Q: Write the expression complex number in standard form. as a 1) (-8 + 8i) – (2 + 4i) 2) (8i) + (-4 -…

A:

Q: Which operation involving complex numbers requires the use of a conjugate?(a) division (b)…

A: The conjugate of a complex number a + bi is the complex number a - bi. If a complex number is…

Q: Divide. -2i 2+3i Write your answer as a complex number in standard form.

A: The given complex number division -2i2+3i. We have write the number in standard form.

Q: If z=3-4i then express these following complex numbers in the form of a+ib: (a) (=+1)(=+i) 2z (b)

A: If z = a + ib and w = c + id then z+w = (a+ib) + (c+id)       = (a+c) + i(b+d)

Q: True or False The polar form of a nonzero complex number is unique.

A: The polar form of a nonzero complex number is unique.

Q: 10+201 2 3+ 4i (10+5i)(16-201)

A:

Q: Determine the Cube root of unity. Also prove each complex cube root of unity is square of the other

A: to find cube root of unity , proceed as follows  x3=1 therefore, x3=1+0i to find the cube root of…

Q: Present complex number z in algebraic form =* + 23D 35 1-3i

A:

Q: Write the expression as a compl I) (-8 + 8i) – (2 + 4i)

A:

Q: Find the imaginary part of 23t where z = x+ iy (the denominator is the conjugate

A: The conjugate of z will be x-iy

Q: The distance from the origin to the point that corresponds to a complex number is known as the…

A: The absolute value ( modulus ) gives the distance from the origin to that point z , where z…

Q: a

A:

Q: Use DeMovier's Theorem to simplify the complex number ( 3 + 2i). Report below the complex number in…

A: Here we will use DeMovier's Theorem to simplify the complex number (3+2i)^5.

Q: Computer three complex cubic root of 2-2i

A:

Q: Complex Numbers. Find, in the form x + iy, showing details, 11. (2 + 3i)2 12. (1 – i)10 14. Vi 13.…

A: The conjugate of the complex number, z=x+yi is z=x-yi. The complex number, z=x+yi can also be…