Question

1. a) Draw a sketch of: {z∈C|Im((3−2i)z)>6}. b) If 2i is a zero of p(z)=az^2+z^3+bz+16, find...

1.
a) Draw a sketch of: {z∈C|Im((3−2i)z)>6}.
b) If 2i is a zero of p(z)=az^2+z^3+bz+16, find the real numbers a,b.
c) Let p(z)=z^4−z^3−2z^2+a+6z, where a is real. Given that 1+i is a zero of p(z):

Find value of a, and a real quadratic factor of p(z). Express p(z)as a product of two real quadratic factors to find all four zeros of p(z).
Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1


0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the value of z which fulfill the equations below az^2+bz+c=0         a must not be 0...
Find the value of z which fulfill the equations below az^2+bz+c=0         a must not be 0 z^3 = -1 z^4 = -i16 z^4 = -1+i These are from complex number roots section
1. a) Express z = −i−sqrt(3) in the form r cis θ, where θ= Argz, and...
1. a) Express z = −i−sqrt(3) in the form r cis θ, where θ= Argz, and then use de Moivre’s theorem to find the two square roots of −4i. b) Consider: i) p(z)=iz^2+z^3+2iz−2z^2+2z. Given that z=2−2i is a zero of this polynomial, find all of its zeros. ii) p(z)=z^3−2z^2+9z−18. Factorise into linear factors.
A20) Given that f(x) is a cubic function with zeros at −2−2 and 2i−2, find an...
A20) Given that f(x) is a cubic function with zeros at −2−2 and 2i−2, find an equation for f(x) given that f(−7)=−6 B19) Find a degree 3 polynomial whose coefficient of x^3 equal to 1. The zeros of this polynomial are 5, −5i, and 5i. Simplify your answer so that it has only real numbers as coefficients. C21) Find all of the zeros of P(x)=x^5+2x^3+xand list them below with zeros repeated according to their multiplicity. Note: Enter the zeros as...
find the poles and zeros of the following transfer function H(z)=((z^-1)-(z^-2)-(6z^-3))/(1+(z^-1)+(z^-2))
find the poles and zeros of the following transfer function H(z)=((z^-1)-(z^-2)-(6z^-3))/(1+(z^-1)+(z^-2))
Let Z be a standard normal random variable and Y = a +bZ^2+cZ^3 where a, b,...
Let Z be a standard normal random variable and Y = a +bZ^2+cZ^3 where a, b, c are constants. Compute the correlation p(Y,Z)
Find all solutions to the following equations: (a) z^6 = 1 (b) z^4 = −16 (c)...
Find all solutions to the following equations: (a) z^6 = 1 (b) z^4 = −16 (c) z^6 = −9 (d) z^6 − z^3 − 2 = 0
find all real zeros if the function P(x)=2x^4-x^3-4x^2+10x-4 i know all possible zeros are + or...
find all real zeros if the function P(x)=2x^4-x^3-4x^2+10x-4 i know all possible zeros are + or - 1, +- 1/2, +-2, +-4 im not sure how to do this and show the work
Find the description of roots and end behavior 1. P(x) = 2(x- 2/3)(x-1)(x+1)(x-2i)(x+2i)    2. P(x)...
Find the description of roots and end behavior 1. P(x) = 2(x- 2/3)(x-1)(x+1)(x-2i)(x+2i)    2. P(x) = 2x^3 - x^2 + 2x-1 3. P(x) = x^5 + x^4 - 9x^3 - x^2 + 20x - 12 4. P(x) = 3x^5 + 9x^4 - 72x^3 - 240x^2 5. P(x) = (x^2 - 1)^2 6. P(x) = x^3 - 5x^2 - x+5 7. P(x) = 3x^5 + 7x^4 + 12x^3 + 28x^2 - 15x-35 8. P(x) = x^3(x+2)(x-2) 9. P(x) = x(x-3)(x-2)(x+1)
Function: H(x)= 7x^3-117x^2+535x-325 A. Use Rational Zeros Theorum to find all possible rational zeros. B. Find...
Function: H(x)= 7x^3-117x^2+535x-325 A. Use Rational Zeros Theorum to find all possible rational zeros. B. Find the actual rational zero and prove it is zero by using synthetic division. C. Find the remaining zeros. D. Factor H(x) completely into linear factors.
Consider the polynomial function P, given by P(x) =−1/2x^3 - 1/2x^2 + 15x Sketch a graph...
Consider the polynomial function P, given by P(x) =−1/2x^3 - 1/2x^2 + 15x Sketch a graph of y = P(x) by: determining the zeros of P, identifying the y-intercept of y = P(x), using test points to examine the sign of y = P(x) to either side of each zero and deducing the end behaviour of the polynomial.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT